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139439520 = 25325118803
BaseRepresentation
bin10000100111110…
…10110110100000
3100201101021001200
420103322312200
5241144031040
621500401200
73312134133
oct1023726640
9321337050
10139439520
1171789a80
123a846200
1322b721bc
141473a21a
15c395630
hex84fada0

139439520 has 144 divisors (see below), whose sum is σ = 519154272. Its totient is φ = 33799680.

The previous prime is 139439513. The next prime is 139439539. The reversal of 139439520 is 25934931.

It is a happy number.

139439520 is a `hidden beast` number, since 13 + 94 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11439 + ... + 20241.

It is an arithmetic number, because the mean of its divisors is an integer number (3605238).

Almost surely, 2139439520 is an apocalyptic number.

139439520 is a gapful number since it is divisible by the number (10) 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 139439520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259577136).

139439520 is an abundant number, since it is smaller than the sum of its proper divisors (379714752).

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

139439520 is a wasteful number, since it uses less digits than its factorization.

139439520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 139439520 is about 11808.4512108913. The cubic root of 139439520 is about 518.5555574549. Note that the first 5 decimals are identical.

The spelling of 139439520 in words is "one hundred thirty-nine million, four hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 8803 15840 17606 26409 35212 44015 52818 70424 79227 88030 96833 105636 132045 140848 158454 176060 193666 211272 264090 281696 290499 316908 352120 387332 396135 422544 484165 528180 580998 633816 704240 774664 792270 845088 871497 968330 1056360 1161996 1267632 1408480 1452495 1549328 1584540 1742994 1936660 2112720 2323992 2535264 2904990 3098656 3169080 3485988 3873320 4225440 4357485 4647984 5809980 6338160 6971976 7746640 8714970 9295968 11619960 12676320 13943952 15493280 17429940 23239920 27887904 34859880 46479840 69719760 139439520