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139961664 = 2632242989
BaseRepresentation
bin10000101011110…
…10010101000000
3100202100210022100
420111322111000
5241312233124
621515510400
73316440333
oct1025722500
9322323270
10139961664
11720062a7
123aa58400
1322cc5a6b
141483461a
15c44a1c9
hex857a540

139961664 has 42 divisors (see below), whose sum is σ = 401176490. Its totient is φ = 46653696.

The previous prime is 139961641. The next prime is 139961719. The reversal of 139961664 is 466169931.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 67371264 = 8520^2 + 8208^2 .

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 120919 + ... + 122070.

Almost surely, 2139961664 is an apocalyptic number.

It is an amenable number.

139961664 is an abundant number, since it is smaller than the sum of its proper divisors (261214826).

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

139961664 is a wasteful number, since it uses less digits than its factorization.

139961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243007 (or 242994 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 139961664 is about 11830.5394636086. The cubic root of 139961664 is about 519.2020107503.

It can be divided in two parts, 139961 and 664, that added together give a square (140625 = 3752).

The spelling of 139961664 in words is "one hundred thirty-nine million, nine hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 242989 485978 728967 971956 1457934 1943912 2186901 2915868 3887824 4373802 5831736 7775648 8747604 11663472 15551296 17495208 23326944 34990416 46653888 69980832 139961664