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138028656 = 2434196863
BaseRepresentation
bin10000011101000…
…10011001110000
3100121201120201110
420032202121300
5240313404111
621410233320
73264136623
oct1016423160
9317646643
10138028656
1170a05a77
123a285840
1322799c7c
141448ddba
15c1b75a6
hex83a2670

138028656 has 40 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 45893056.

The previous prime is 138028651. The next prime is 138028663. The reversal of 138028656 is 656820831.

It is a happy number.

It is a super-3 number, since 3×1380286563 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138028651) 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 7 ways as a sum of consecutive naturals, for example, 16681 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2138028656 is an apocalyptic number.

138028656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138028656 is an abundant number, since it is smaller than the sum of its proper divisors (219448464).

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

138028656 is a wasteful number, since it uses less digits than its factorization.

138028656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 138028656 is about 11748.5597415173. The cubic root of 138028656 is about 516.8006918808.

The spelling of 138028656 in words is "one hundred thirty-eight million, twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 419 838 1257 1676 2514 3352 5028 6704 6863 10056 13726 20112 20589 27452 41178 54904 82356 109808 164712 329424 2875597 5751194 8626791 11502388 17253582 23004776 34507164 46009552 69014328 138028656