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138752376 = 233723149241
BaseRepresentation
bin10000100010100…
…11000101111000
3100200002100110220
420101103011320
5241010034001
621433540040
73303242610
oct1021230570
9320070426
10138752376
117135a794
123a574620
13229914c9
14145dba40
15c2abc36
hex8453178

138752376 has 128 divisors (see below), whose sum is σ = 418176000. Its totient is φ = 37509120.

The previous prime is 138752371. The next prime is 138752381. The reversal of 138752376 is 673257831.

It is an interprime number because it is at equal distance from previous prime (138752371) and next prime (138752381).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138752371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575616 + ... + 575856.

It is an arithmetic number, because the mean of its divisors is an integer number (3267000).

Almost surely, 2138752376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138752376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209088000).

138752376 is an abundant number, since it is smaller than the sum of its proper divisors (279423624).

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

138752376 is a wasteful number, since it uses less digits than its factorization.

138752376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 138752376 is about 11779.3198445411. The cubic root of 138752376 is about 517.7023577915.

It can be divided in two parts, 138752 and 376, that added together give a triangular number (139128 = T527).

The spelling of 138752376 in words is "one hundred thirty-eight million, seven hundred fifty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 149 161 168 184 241 276 298 322 447 482 483 552 596 644 723 894 964 966 1043 1192 1288 1446 1687 1788 1928 1932 2086 2892 3129 3374 3427 3576 3864 4172 5061 5543 5784 6258 6748 6854 8344 10122 10281 11086 12516 13496 13708 16629 20244 20562 22172 23989 25032 27416 33258 35909 38801 40488 41124 44344 47978 66516 71818 71967 77602 82248 95956 107727 116403 133032 143636 143934 155204 191912 215454 232806 251363 287272 287868 310408 430908 465612 502726 575736 754089 825907 861816 931224 1005452 1508178 1651814 2010904 2477721 3016356 3303628 4955442 5781349 6032712 6607256 9910884 11562698 17344047 19821768 23125396 34688094 46250792 69376188 138752376