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104207957 = 723122213
BaseRepresentation
bin1100011011000…
…01011001010101
321021002022102222
412031201121111
5203134123312
614201312125
72403516200
oct615413125
9237068388
10104207957
1153905a87
122aa95645
1318787c19
14dba8937
159236672
hex6361655

104207957 has 18 divisors (see below), whose sum is σ = 125314614. Its totient is φ = 86400720.

The previous prime is 104207953. The next prime is 104208001. The reversal of 104207957 is 759702401.

It can be written as a sum of positive squares in only one way, i.e., 104019601 + 188356 = 10199^2 + 434^2 .

It is not a de Polignac number, because 104207957 - 22 = 104207953 is a prime.

It is a super-2 number, since 2×1042079572 = 21718596604227698, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104207953) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 45983 + ... + 48195.

It is an arithmetic number, because the mean of its divisors is an integer number (6961923).

Almost surely, 2104207957 is an apocalyptic number.

It is an amenable number.

104207957 is a deficient number, since it is larger than the sum of its proper divisors (21106657).

104207957 is an equidigital number, since it uses as much as digits as its factorization.

104207957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 104207957 is about 10208.2298661423. The cubic root of 104207957 is about 470.5801753341.

The spelling of 104207957 in words is "one hundred four million, two hundred seven thousand, nine hundred fifty-seven".

Divisors: 1 7 31 49 217 961 1519 2213 6727 15491 47089 68603 108437 480221 2126693 3361547 14886851 104207957