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131266960 = 24511433469
BaseRepresentation
bin1111101001011…
…11100110010000
3100011000001102021
413310233212100
5232101020320
621005301224
73152515336
oct764574620
9304001367
10131266960
11681078a0
1237b64814
1321270376
141360db56
15b7cddaa
hex7d2f990

131266960 has 80 divisors (see below), whose sum is σ = 340781760. Its totient is φ = 46609920.

The previous prime is 131266951. The next prime is 131266999. The reversal of 131266960 is 69662131.

It is a tau number, because it is divible by the number of its divisors (80).

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, 36106 + ... + 39574.

It is an arithmetic number, because the mean of its divisors is an integer number (4259772).

Almost surely, 2131266960 is an apocalyptic number.

131266960 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 131266960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170390880).

131266960 is an abundant number, since it is smaller than the sum of its proper divisors (209514800).

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

131266960 is a wasteful number, since it uses less digits than its factorization.

131266960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 131266960 is about 11457.1794085630. The cubic root of 131266960 is about 508.2200670928.

The spelling of 131266960 in words is "one hundred thirty-one million, two hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3469 3784 4730 6938 7568 9460 13876 17345 18920 27752 34690 37840 38159 55504 69380 76318 138760 149167 152636 190795 277520 298334 305272 381590 596668 610544 745835 763180 1193336 1491670 1526360 1640837 2386672 2983340 3052720 3281674 5966680 6563348 8204185 11933360 13126696 16408370 26253392 32816740 65633480 131266960