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138965064 = 23373126683
BaseRepresentation
bin10000100100001…
…11000001001000
3100200111011020020
420102013001020
5241033340224
621442300440
73305116650
oct1022070110
9320434206
10138965064
1171495567
123a657720
1322a37264
1414655360
15c2eec79
hex8487048

138965064 has 64 divisors (see below), whose sum is σ = 409866240. Its totient is φ = 38422080.

The previous prime is 138965053. The next prime is 138965077. The reversal of 138965064 is 460569831.

It is a super-2 number, since 2×1389650642 = 38622578025048192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8134 + ... + 18549.

It is an arithmetic number, because the mean of its divisors is an integer number (6404160).

Almost surely, 2138965064 is an apocalyptic number.

138965064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138965064 is an abundant number, since it is smaller than the sum of its proper divisors (270901176).

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

138965064 is a wasteful number, since it uses less digits than its factorization.

138965064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26730 (or 26726 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 138965064 is about 11788.3444130209. The cubic root of 138965064 is about 517.9667445345.

The spelling of 138965064 in words is "one hundred thirty-eight million, nine hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 26683 53366 80049 106732 160098 186781 213464 320196 373562 560343 640392 747124 827173 1120686 1494248 1654346 2241372 2481519 3308692 4482744 4963038 5790211 6617384 9926076 11580422 17370633 19852152 23160844 34741266 46321688 69482532 138965064