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107000442 = 2325944469
BaseRepresentation
bin1100110000010…
…11001001111010
321110100012000100
412120023021322
5204343003232
614341220230
72436326433
oct630131172
9243305010
10107000442
115544301a
122ba01676
1319224c93
14102d448a
1595d8c7c
hex660b27a

107000442 has 12 divisors (see below), whose sum is σ = 231834330. Its totient is φ = 35666808.

The previous prime is 107000429. The next prime is 107000461. The reversal of 107000442 is 244000701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54597321 + 52403121 = 7389^2 + 7239^2 .

It is a super-2 number, since 2×1070004422 = 22898189176390728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5944469 = 107000442 / (1 + 0 + 7 + 0 + 0 + 0 + 4 + 4 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2972217 + ... + 2972252.

Almost surely, 2107000442 is an apocalyptic number.

107000442 is an abundant number, since it is smaller than the sum of its proper divisors (124833888).

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

107000442 is a wasteful number, since it uses less digits than its factorization.

107000442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944477 (or 5944474 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107000442 is about 10344.1017976429. The cubic root of 107000442 is about 474.7465935515.

The spelling of 107000442 in words is "one hundred seven million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 5944469 11888938 17833407 35666814 53500221 107000442