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131166552 = 233112691847
BaseRepresentation
bin1111101000101…
…11000101011000
3100010210221200110
413310113011120
5232034312202
621003204320
73151616526
oct764270530
9303727613
10131166552
1168049410
1237b166a0
132123675a
14135c5316
15b7ae26c
hex7d17158

131166552 has 64 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 39578240.

The previous prime is 131166551. The next prime is 131166571. The reversal of 131166552 is 255661131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131166551) 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, 70093 + ... + 71939.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2131166552 is an apocalyptic number.

131166552 is a gapful number since it is divisible by the number (12) 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 131166552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

131166552 is an abundant number, since it is smaller than the sum of its proper divisors (228084648).

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

131166552 is a wasteful number, since it uses less digits than its factorization.

131166552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 131166552 is about 11452.7966890188. The cubic root of 131166552 is about 508.0904524077.

The spelling of 131166552 in words is "one hundred thirty-one million, one hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 269 538 807 1076 1614 1847 2152 2959 3228 3694 5541 5918 6456 7388 8877 11082 11836 14776 17754 20317 22164 23672 35508 40634 44328 60951 71016 81268 121902 162536 243804 487608 496843 993686 1490529 1987372 2981058 3974744 5465273 5962116 10930546 11924232 16395819 21861092 32791638 43722184 65583276 131166552