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139890688 = 212721741
BaseRepresentation
bin10000101011010…
…01000000000000
3100202020011221121
420111221000000
5241303000223
621514202024
73316023400
oct1025510000
9322204847
10139890688
1171a67a43
123aa23314
1322c9c672
1414816800
15c43415d
hex8569000

139890688 has 156 divisors (see below), whose sum is σ = 352966572. Its totient is φ = 55050240.

The previous prime is 139890683. The next prime is 139890689. The reversal of 139890688 is 886098931.

139890688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 88510464 = 7168^2 + 9408^2 .

It is a super-2 number, since 2×1398906882 = 39138809178226688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139890683) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3411948 + ... + 3411988.

Almost surely, 2139890688 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 139890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176483286).

139890688 is an abundant number, since it is smaller than the sum of its proper divisors (213075884).

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

139890688 is an equidigital number, since it uses as much as digits as its factorization.

139890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The square root of 139890688 is about 11827.5393890699. The cubic root of 139890688 is about 519.1142316834.

The spelling of 139890688 in words is "one hundred thirty-nine million, eight hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 49 56 64 68 82 98 112 119 128 136 164 196 224 238 256 272 287 328 392 448 476 512 544 574 656 697 784 833 896 952 1024 1088 1148 1312 1394 1568 1666 1792 1904 2009 2048 2176 2296 2624 2788 3136 3332 3584 3808 4018 4096 4352 4592 4879 5248 5576 6272 6664 7168 7616 8036 8704 9184 9758 10496 11152 12544 13328 14336 15232 16072 17408 18368 19516 20992 22304 25088 26656 28672 30464 32144 34153 34816 36736 39032 41984 44608 50176 53312 60928 64288 68306 69632 73472 78064 83968 89216 100352 106624 121856 128576 136612 146944 156128 167936 178432 200704 213248 243712 257152 273224 293888 312256 356864 426496 487424 514304 546448 587776 624512 713728 852992 1028608 1092896 1175552 1249024 1427456 1705984 2057216 2185792 2498048 2854912 3411968 4114432 4371584 4996096 8228864 8743168 9992192 17486336 19984384 34972672 69945344 139890688