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139430368 = 2571171797
BaseRepresentation
bin10000100111110…
…00100111100000
3100201100210111201
420103320213200
5241143232433
621500250544
73312065350
oct1023704740
9321323451
10139430368
1171783110
123a840a54
1322b6ac9c
1414736b60
15c392a7d
hex84f89e0

139430368 has 96 divisors (see below), whose sum is σ = 347493888. Its totient is φ = 53491200.

The previous prime is 139430359. The next prime is 139430387. The reversal of 139430368 is 863034931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174546 + ... + 175342.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2139430368 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 139430368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

139430368 is an abundant number, since it is smaller than the sum of its proper divisors (208063520).

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

139430368 is a wasteful number, since it uses less digits than its factorization.

139430368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 139430368 is about 11808.0636854651. The cubic root of 139430368 is about 518.5442122153.

The spelling of 139430368 in words is "one hundred thirty-nine million, four hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 71 77 88 112 142 154 176 224 284 308 352 497 568 616 781 797 994 1136 1232 1562 1594 1988 2272 2464 3124 3188 3976 5467 5579 6248 6376 7952 8767 10934 11158 12496 12752 15904 17534 21868 22316 24992 25504 35068 43736 44632 56587 61369 70136 87472 89264 113174 122738 140272 174944 178528 226348 245476 280544 396109 452696 490952 622457 792218 905392 981904 1244914 1584436 1810784 1963808 2489828 3168872 4357199 4979656 6337744 8714398 9959312 12675488 17428796 19918624 34857592 69715184 139430368