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139887616 = 2101121129
BaseRepresentation
bin10000101011010…
…00010000000000
3100202020000201211
420111220100000
5241302400431
621514135504
73316011421
oct1025502000
9322200654
10139887616
1171a65700
123aa21594
1322c9b14b
1414815648
15c4332b1
hex8568400

139887616 has 66 divisors (see below), whose sum is σ = 307643630. Its totient is φ = 63528960.

The previous prime is 139887599. The next prime is 139887623. The reversal of 139887616 is 616788931.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 49561600 = 9504^2 + 7040^2 .

It is a super-2 number, since 2×1398876162 = 39137090220326912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 139887616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123340 + ... + 124468.

Almost surely, 2139887616 is an apocalyptic number.

139887616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153821815).

139887616 is an abundant number, since it is smaller than the sum of its proper divisors (167756014).

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

139887616 is a wasteful number, since it uses less digits than its factorization.

139887616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1142 counting only the distinct ones).

The product of its digits is 435456, while the sum is 49.

The square root of 139887616 is about 11827.4095219537. The cubic root of 139887616 is about 519.1104317388.

The spelling of 139887616 in words is "one hundred thirty-nine million, eight hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1129 1408 1936 2258 2816 3872 4516 5632 7744 9032 11264 12419 15488 18064 24838 30976 36128 49676 61952 72256 99352 123904 136609 144512 198704 273218 289024 397408 546436 578048 794816 1092872 1156096 1589632 2185744 3179264 4371488 6358528 8742976 12717056 17485952 34971904 69943808 139887616