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139937664 = 273373977
BaseRepresentation
bin10000101011101…
…00011110000000
3100202022120101110
420111310132000
5241311001124
621515203320
73316310346
oct1025643600
9322276343
10139937664
1171a9a269
123aa46540
1322cb7b69
1414829996
15c443029
hex8574780

139937664 has 64 divisors (see below), whose sum is σ = 373087440. Its totient is φ = 46473216.

The previous prime is 139937657. The next prime is 139937713. The reversal of 139937664 is 466739931.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 142744 + ... + 143720.

Almost surely, 2139937664 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 139937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186543720).

139937664 is an abundant number, since it is smaller than the sum of its proper divisors (233149776).

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

139937664 is an equidigital number, since it uses as much as digits as its factorization.

139937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 139937664 is about 11829.5250961313. The cubic root of 139937664 is about 519.1723322412.

The spelling of 139937664 in words is "one hundred thirty-nine million, nine hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 373 384 746 977 1119 1492 1954 2238 2931 2984 3908 4476 5862 5968 7816 8952 11724 11936 15632 17904 23448 23872 31264 35808 46896 47744 62528 71616 93792 125056 143232 187584 364421 375168 728842 1093263 1457684 2186526 2915368 4373052 5830736 8746104 11661472 17492208 23322944 34984416 46645888 69968832 139937664