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138820461 = 31319318443
BaseRepresentation
bin10000100011000…
…11101101101101
3100200012210212120
420101203231231
5241014223321
621435223153
73303645243
oct1021435555
9320183776
10138820461
11713a695a
123a5a7ab9
13229b64b0
1414618793
15c2c1ec6
hex8463b6d

138820461 has 16 divisors (see below), whose sum is σ = 200375616. Its totient is φ = 84980736.

The previous prime is 138820457. The next prime is 138820471. The reversal of 138820461 is 164028831.

138820461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138820461 - 22 = 138820457 is a prime.

It is a super-2 number, since 2×1388204612 = 38542240784505042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138820421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695 + ... + 16748.

It is an arithmetic number, because the mean of its divisors is an integer number (12523476).

Almost surely, 2138820461 is an apocalyptic number.

It is an amenable number.

138820461 is a deficient number, since it is larger than the sum of its proper divisors (61555155).

138820461 is a wasteful number, since it uses less digits than its factorization.

138820461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18652.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 138820461 is about 11782.2095126508. The cubic root of 138820461 is about 517.7870218103.

The spelling of 138820461 in words is "one hundred thirty-eight million, eight hundred twenty thousand, four hundred sixty-one".

Divisors: 1 3 13 39 193 579 2509 7527 18443 55329 239759 719277 3559499 10678497 46273487 138820461