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138356407 = 7671571879
BaseRepresentation
bin10000011111100…
…10011010110111
3100122100020022101
420033302122313
5240404401112
621421242531
73300003310
oct1017623267
9318306271
10138356407
117110a242
123a403447
13228831c7
1414537607
15c22e757
hex83f26b7

138356407 has 16 divisors (see below), whose sum is σ = 161589760. Its totient is φ = 116015328.

The previous prime is 138356381. The next prime is 138356411. The reversal of 138356407 is 704653831.

It is a cyclic number.

It is not a de Polignac number, because 138356407 - 27 = 138356279 is a prime.

It is the 11763-rd Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138326407) by changing a digit.

It is a nontrivial repunit in base 11762.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72694 + ... + 74572.

It is an arithmetic number, because the mean of its divisors is an integer number (10099360).

Almost surely, 2138356407 is an apocalyptic number.

138356407 is a deficient number, since it is larger than the sum of its proper divisors (23233353).

138356407 is a wasteful number, since it uses less digits than its factorization.

138356407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 138356407 is about 11762.5000318810. The cubic root of 138356407 is about 517.2094187313.

The spelling of 138356407 in words is "one hundred thirty-eight million, three hundred fifty-six thousand, four hundred seven".

Divisors: 1 7 67 157 469 1099 1879 10519 13153 73633 125893 295003 881251 2065021 19765201 138356407