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101050432 = 2672111069
BaseRepresentation
bin1100000010111…
…10100001000000
321001010220010121
412001132201000
5201332103212
614005510024
72334625450
oct601364100
9231126117
10101050432
115204975a
1229a12314
1317c20972
14d5c5d60
158d10d07
hex605e840

101050432 has 56 divisors (see below), whose sum is σ = 230469440. Its totient is φ = 43061760.

The previous prime is 101050427. The next prime is 101050447. The reversal of 101050432 is 234050101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1010504322 = 20422379614773248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93994 + ... + 95062.

Almost surely, 2101050432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115234720).

101050432 is an abundant number, since it is smaller than the sum of its proper divisors (129419008).

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

101050432 is a wasteful number, since it uses less digits than its factorization.

101050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 101050432 is about 10052.3843937645. The cubic root of 101050432 is about 465.7784501940.

The spelling of 101050432 in words is "one hundred one million, fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 211 224 422 448 844 1069 1477 1688 2138 2954 3376 4276 5908 6752 7483 8552 11816 13504 14966 17104 23632 29932 34208 47264 59864 68416 94528 119728 225559 239456 451118 478912 902236 1578913 1804472 3157826 3608944 6315652 7217888 12631304 14435776 25262608 50525216 101050432