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1132351136 = 25731179911
BaseRepresentation
bin100001101111110…
…0100111010100000
32220220201101201222
41003133210322200
54304340214021
6304210114212
740026553160
oct10337447240
92826641658
101132351136
11531201194
1227727b968
13150799b77
14aa5605a0
15696266ab
hex437e4ea0

1132351136 has 96 divisors (see below), whose sum is σ = 2647572480. Its totient is φ = 466502400.

The previous prime is 1132351117. The next prime is 1132351141. The reversal of 1132351136 is 6311532311.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242521 + ... + 1243431.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 21132351136 is an apocalyptic number.

1132351136 is a gapful number since it is divisible by the number (16) 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 1132351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323786240).

1132351136 is an abundant number, since it is smaller than the sum of its proper divisors (1515221344).

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

1132351136 is a wasteful number, since it uses less digits than its factorization.

1132351136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 1132351136 is about 33650.4254950810. The cubic root of 1132351136 is about 1042.3023254451.

Adding to 1132351136 its reverse (6311532311), we get a palindrome (7443883447).

The spelling of 1132351136 in words is "one billion, one hundred thirty-two million, three hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 179 217 224 248 358 434 496 716 868 911 992 1253 1432 1736 1822 2506 2864 3472 3644 5012 5549 5728 6377 6944 7288 10024 11098 12754 14576 20048 22196 25508 28241 29152 38843 40096 44392 51016 56482 77686 88784 102032 112964 155372 163069 177568 197687 204064 225928 310744 326138 395374 451856 621488 652276 790748 903712 1141483 1242976 1304552 1581496 2282966 2609104 3162992 4565932 5055139 5218208 6325984 9131864 10110278 18263728 20220556 35385973 36527456 40441112 70771946 80882224 141543892 161764448 283087784 566175568 1132351136