Search a number
-
+
138836016 = 24321187649
BaseRepresentation
bin10000100011001…
…11100000110000
3100200020121012200
420101213200300
5241020223031
621435423200
73304041504
oct1021474060
9320217180
10138836016
1171407610
123a5b4b00
13229c05b7
1414620304
15c2c68e6
hex8467830

138836016 has 60 divisors (see below), whose sum is σ = 423875400. Its totient is φ = 42071040.

The previous prime is 138835997. The next prime is 138836017. The reversal of 138836016 is 610638831.

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

It is not an unprimeable number, because it can be changed into a prime (138836017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42241 + ... + 45408.

It is an arithmetic number, because the mean of its divisors is an integer number (7064590).

Almost surely, 2138836016 is an apocalyptic number.

138836016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138836016 is an abundant number, since it is smaller than the sum of its proper divisors (285039384).

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

138836016 is a wasteful number, since it uses less digits than its factorization.

138836016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87674 (or 87665 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138836016 is about 11782.8695995500. The cubic root of 138836016 is about 517.8063606413.

The spelling of 138836016 in words is "one hundred thirty-eight million, eight hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 87649 175298 262947 350596 525894 701192 788841 964139 1051788 1402384 1577682 1928278 2103576 2892417 3155364 3856556 4207152 5784834 6310728 7713112 8677251 11569668 12621456 15426224 17354502 23139336 34709004 46278672 69418008 138836016