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131734704 = 24329101937
BaseRepresentation
bin1111101101000…
…01110010110000
3100011212211001010
413312201302300
5232211002304
621023310520
73156504123
oct766416260
9304784033
10131734704
11683a7262
123814b440
13213a523a
14136d23ba
15b872789
hex7da1cb0

131734704 has 80 divisors (see below), whose sum is σ = 355914720. Its totient is φ = 41932800.

The previous prime is 131734703. The next prime is 131734711. The reversal of 131734704 is 407437131.

It is not an unprimeable number, because it can be changed into a prime (131734703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140124 + ... + 141060.

It is an arithmetic number, because the mean of its divisors is an integer number (4448934).

Almost surely, 2131734704 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 131734704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177957360).

131734704 is an abundant number, since it is smaller than the sum of its proper divisors (224180016).

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

131734704 is a wasteful number, since it uses less digits than its factorization.

131734704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 131734704 is about 11477.5739596833. The cubic root of 131734704 is about 508.8229989406.

The spelling of 131734704 in words is "one hundred thirty-one million, seven hundred thirty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 404 464 606 696 808 937 1212 1392 1616 1874 2424 2811 2929 3748 4848 5622 5858 7496 8787 11244 11716 14992 17574 22488 23432 27173 35148 44976 46864 54346 70296 81519 94637 108692 140592 163038 189274 217384 283911 326076 378548 434768 567822 652152 757096 1135644 1304304 1514192 2271288 2744473 4542576 5488946 8233419 10977892 16466838 21955784 32933676 43911568 65867352 131734704