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131689608 = 233191072699
BaseRepresentation
bin1111101100101…
…10110010001000
3100011210112011220
413312112302020
5232203031413
621022322040
73156225501
oct766266210
9304715156
10131689608
1168376396
1238129320
132138a85b
14136bdba8
15b864223
hex7d96c88

131689608 has 64 divisors (see below), whose sum is σ = 349920000. Its totient is φ = 41182272.

The previous prime is 131689583. The next prime is 131689619. The reversal of 131689608 is 806986131.

It is a self number, because there is not a number n which added to its sum of digits gives 131689608.

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, 47443 + ... + 50141.

It is an arithmetic number, because the mean of its divisors is an integer number (5467500).

Almost surely, 2131689608 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 131689608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960000).

131689608 is an abundant number, since it is smaller than the sum of its proper divisors (218230392).

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

131689608 is a wasteful number, since it uses less digits than its factorization.

131689608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 131689608 is about 11475.6092648713. The cubic root of 131689608 is about 508.7649314760.

The spelling of 131689608 in words is "one hundred thirty-one million, six hundred eighty-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 642 856 1284 2033 2568 2699 4066 5398 6099 8097 8132 10796 12198 16194 16264 21592 24396 32388 48792 51281 64776 102562 153843 205124 288793 307686 410248 577586 615372 866379 1155172 1230744 1732758 2310344 3465516 5487067 6931032 10974134 16461201 21948268 32922402 43896536 65844804 131689608