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10055232 = 263311232
BaseRepresentation
bin100110010110…
…111001000000
3200220212012000
4212112321000
510033231412
6555304000
7151316355
oct46267100
920825160
1010055232
115748710
12344b000
132110a55
14149a62c
15d394dc
hex996e40

10055232 has 168 divisors, whose sum is σ = 33710880. Its totient is φ = 2914560.

The previous prime is 10055219. The next prime is 10055263. The reversal of 10055232 is 23255001.

It is a happy number.

It is a super-2 number, since 2×100552322 = 202215381147648, which contains 22 as substring.

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

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, 437173 + ... + 437195.

It is an arithmetic number, because the mean of its divisors is an integer number (200660).

Almost surely, 210055232 is an apocalyptic number.

10055232 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 10055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855440).

10055232 is an abundant number, since it is smaller than the sum of its proper divisors (23655648).

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

10055232 is a wasteful number, since it uses less digits than its factorization.

10055232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10055232 is about 3170.9985808890. The cubic root of 10055232 is about 215.8393867737.

The spelling of 10055232 in words is "ten million, fifty-five thousand, two hundred thirty-two".