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1132432020 = 2232529401541
BaseRepresentation
bin100001101111111…
…1000101010010100
32220220212111200200
41003133320222110
54304400311040
6304211540500
740030341036
oct10337705224
92826774620
101132432020
11531256a35
122772ba730
131507c7925
14aa581c56
1569640630
hex437f8a94

1132432020 has 144 divisors (see below), whose sum is σ = 3568939920. Its totient is φ = 290304000.

The previous prime is 1132432001. The next prime is 1132432043. The reversal of 1132432020 is 202342311.

1132432020 is a `hidden beast` number, since 1 + 1 + 324 + 320 + 20 = 666.

1132432020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 60000516 + 1072431504 = 7746^2 + 32748^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1132431984 and 1132432002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2092950 + ... + 2093490.

It is an arithmetic number, because the mean of its divisors is an integer number (24784305).

Almost surely, 21132432020 is an apocalyptic number.

1132432020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784469960).

1132432020 is an abundant number, since it is smaller than the sum of its proper divisors (2436507900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1132432020 is a wasteful number, since it uses less digits than its factorization.

1132432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1132432020 is about 33651.6273009196. The cubic root of 1132432020 is about 1042.3271421212.

Adding to 1132432020 its reverse (202342311), we get a palindrome (1334774331).

The spelling of 1132432020 in words is "one billion, one hundred thirty-two million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 401 435 522 541 580 802 870 1044 1082 1203 1305 1604 1623 1740 2005 2164 2406 2610 2705 3246 3609 4010 4812 4869 5220 5410 6015 6492 7218 8020 8115 9738 10820 11629 12030 14436 15689 16230 18045 19476 23258 24060 24345 31378 32460 34887 36090 46516 47067 48690 58145 62756 69774 72180 78445 94134 97380 104661 116290 139548 141201 156890 174435 188268 209322 216941 232580 235335 282402 313780 348870 418644 433882 470670 523305 564804 650823 697740 706005 867764 941340 1046610 1084705 1301646 1412010 1952469 2093220 2169410 2603292 2824020 3254115 3904938 4338820 6291289 6508230 7809876 9762345 12582578 13016460 18873867 19524690 25165156 31456445 37747734 39049380 56621601 62912890 75495468 94369335 113243202 125825780 188738670 226486404 283108005 377477340 566216010 1132432020