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138866328 = 23323752127
BaseRepresentation
bin10000100011011…
…10111010011000
3100200022010210100
420101232322120
5241022210303
621440215400
73304226046
oct1021567230
9320263710
10138866328
1171428367
123a60a560
1322a01333
141462b396
15c2d08a3
hex846ee98

138866328 has 48 divisors (see below), whose sum is σ = 386268480. Its totient is φ = 45036864.

The previous prime is 138866311. The next prime is 138866333. The reversal of 138866328 is 823668831.

138866328 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 6 + 632 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23400 + ... + 28727.

It is an arithmetic number, because the mean of its divisors is an integer number (8047260).

Almost surely, 2138866328 is an apocalyptic number.

138866328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138866328 is an abundant number, since it is smaller than the sum of its proper divisors (247402152).

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

138866328 is a wasteful number, since it uses less digits than its factorization.

138866328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52176 (or 52169 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 138866328 is about 11784.1558034507. The cubic root of 138866328 is about 517.8440420363.

The spelling of 138866328 in words is "one hundred thirty-eight million, eight hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 52127 104254 156381 208508 312762 417016 469143 625524 938286 1251048 1876572 1928699 3753144 3857398 5786097 7714796 11572194 15429592 17358291 23144388 34716582 46288776 69433164 138866328