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138983664 = 24323312131
BaseRepresentation
bin10000100100010…
…11100011110000
3100200112002202010
420102023203300
5241034434124
621442522520
73305225121
oct1022134360
9320462663
10138983664
11714a8536
123a666440
1322a42871
141465c048
15c305529
hex848b8f0

138983664 has 120 divisors (see below), whose sum is σ = 390082176. Its totient is φ = 42556800.

The previous prime is 138983659. The next prime is 138983683. The reversal of 138983664 is 466389831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1060879 + ... + 1061009.

Almost surely, 2138983664 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 138983664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195041088).

138983664 is an abundant number, since it is smaller than the sum of its proper divisors (251098512).

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

138983664 is a wasteful number, since it uses less digits than its factorization.

138983664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 190 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 138983664 is about 11789.1333014773. The cubic root of 138983664 is about 517.9898528644.

The spelling of 138983664 in words is "one hundred thirty-eight million, nine hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 131 138 184 186 248 262 276 368 372 393 496 524 552 713 744 786 961 1048 1104 1426 1488 1572 1922 2096 2139 2852 2883 3013 3144 3844 4061 4278 5704 5766 6026 6288 7688 8122 8556 9039 11408 11532 12052 12183 15376 16244 17112 18078 22103 23064 24104 24366 32488 34224 36156 44206 46128 48208 48732 64976 66309 72312 88412 93403 97464 125891 132618 144624 176824 186806 194928 251782 265236 280209 353648 373612 377673 503564 530472 560418 747224 755346 1007128 1060944 1120836 1494448 1510692 2014256 2241672 2895493 3021384 4483344 5790986 6042768 8686479 11581972 17372958 23163944 34745916 46327888 69491832 138983664