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138254256 = 24337131349
BaseRepresentation
bin10000011110110…
…01011110110000
3100122011001012000
420033121132300
5240343114011
621415134000
73266066430
oct1017313660
9318131160
10138254256
117104a518
123a374300
132284886a
141450c2c0
15c20e356
hex83d97b0

138254256 has 160 divisors (see below), whose sum is σ = 458304000. Its totient is φ = 39087360.

The previous prime is 138254231. The next prime is 138254261. The reversal of 138254256 is 652452831.

138254256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1382542562 = 38228478604227072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138254256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395970 + ... + 396318.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2138254256 is an apocalyptic number.

138254256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138254256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229152000).

138254256 is an abundant number, since it is smaller than the sum of its proper divisors (320049744).

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

138254256 is a wasteful number, since it uses less digits than its factorization.

138254256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 138254256 is about 11758.1569984415. The cubic root of 138254256 is about 517.0820990829.

It can be divided in two parts, 13825 and 4256, that added together give a palindrome (18081).

The spelling of 138254256 in words is "one hundred thirty-eight million, two hundred fifty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 131 144 168 189 216 252 262 336 349 378 393 432 504 524 698 756 786 917 1008 1047 1048 1179 1396 1512 1572 1834 2094 2096 2358 2443 2751 2792 3024 3141 3144 3537 3668 4188 4716 4886 5502 5584 6282 6288 7074 7329 7336 8253 8376 9423 9432 9772 11004 12564 14148 14658 14672 16506 16752 18846 18864 19544 21987 22008 24759 25128 28296 29316 33012 37692 39088 43974 44016 45719 49518 50256 56592 58632 65961 66024 75384 87948 91438 99036 117264 131922 132048 137157 150768 175896 182876 198072 263844 274314 320033 351792 365752 396144 411471 527688 548628 640066 731504 822942 960099 1055376 1097256 1234413 1280132 1645884 1920198 2194512 2468826 2560264 2880297 3291768 3840396 4937652 5120528 5760594 6583536 7680792 8640891 9875304 11521188 15361584 17281782 19750608 23042376 34563564 46084752 69127128 138254256