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1102856832 = 273271112433
BaseRepresentation
bin100000110111100…
…0100001010000000
32211212012221011100
41001233010022000
54224312404312
6301234014400
736221062020
oct10157041200
92755187140
101102856832
11516596730
12269417400
1314764110c
14a6683a80
1566c4c5dc
hex41bc4280

1102856832 has 192 divisors, whose sum is σ = 3956996160. Its totient is φ = 286433280.

The previous prime is 1102856813. The next prime is 1102856849. The reversal of 1102856832 is 2386582011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82488 + ... + 94920.

It is an arithmetic number, because the mean of its divisors is an integer number (20609355).

Almost surely, 21102856832 is an apocalyptic number.

1102856832 is a gapful number since it is divisible by the number (12) 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 1102856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978498080).

1102856832 is an abundant number, since it is smaller than the sum of its proper divisors (2854139328).

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

1102856832 is a wasteful number, since it uses less digits than its factorization.

1102856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12471 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1102856832 is about 33209.2883392583. The cubic root of 1102856832 is about 1033.1729947082.

The spelling of 1102856832 in words is "one billion, one hundred two million, eight hundred fifty-six thousand, eight hundred thirty-two".