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1132441020 = 223357332861
BaseRepresentation
bin100001101111111…
…1010110110111100
32220220212222001000
41003133322312330
54304401103040
6304212050300
740030406214
oct10337726674
92826788030
101132441020
11531262777
12277303990
131507cba59
14aa585244
1569643130
hex437fadbc

1132441020 has 96 divisors (see below), whose sum is σ = 3529189440. Its totient is φ = 301466880.

The previous prime is 1132440997. The next prime is 1132441049. The reversal of 1132441020 is 201442311.

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 = 1132440984 and 1132441002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394390 + ... + 397250.

It is an arithmetic number, because the mean of its divisors is an integer number (36762390).

Almost surely, 21132441020 is an apocalyptic number.

1132441020 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 1132441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764594720).

1132441020 is an abundant number, since it is smaller than the sum of its proper divisors (2396748420).

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

1132441020 is a wasteful number, since it uses less digits than its factorization.

1132441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1132441020 is about 33651.7610237562. The cubic root of 1132441020 is about 1042.3299034112.

Adding to 1132441020 its reverse (201442311), we get a palindrome (1333883331).

The spelling of 1132441020 in words is "one billion, one hundred thirty-two million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 733 1466 2199 2861 2932 3665 4398 5722 6597 7330 8583 8796 10995 11444 13194 14305 14660 17166 19791 21990 25749 26388 28610 32985 34332 39582 42915 43980 51498 57220 65970 77247 79164 85830 98955 102996 128745 131940 154494 171660 197910 257490 308988 386235 395820 514980 772470 1544940 2097113 4194226 6291339 8388452 10485565 12582678 18874017 20971130 25165356 31456695 37748034 41942260 56622051 62913390 75496068 94370085 113244102 125826780 188740170 226488204 283110255 377480340 566220510 1132441020