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131289568 = 2561103653
BaseRepresentation
bin1111101001101…
…01000111100000
3100011001012102121
413310311013200
5232102231233
621005554024
73152641264
oct764650740
9304035377
10131289568
1168122883
1237b75914
132127a747
14136180a4
15b7d592d
hex7d351e0

131289568 has 48 divisors (see below), whose sum is σ = 265670496. Its totient is φ = 63843840.

The previous prime is 131289541. The next prime is 131289569. The reversal of 131289568 is 865982131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131289569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200730 + ... + 201382.

It is an arithmetic number, because the mean of its divisors is an integer number (5534802).

Almost surely, 2131289568 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 131289568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132835248).

131289568 is an abundant number, since it is smaller than the sum of its proper divisors (134380928).

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

131289568 is a wasteful number, since it uses less digits than its factorization.

131289568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 131289568 is about 11458.1659963539. The cubic root of 131289568 is about 508.2492421920.

The spelling of 131289568 in words is "one hundred thirty-one million, two hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 103 122 206 244 412 488 653 824 976 1306 1648 1952 2612 3296 5224 6283 10448 12566 20896 25132 39833 50264 67259 79666 100528 134518 159332 201056 269036 318664 538072 637328 1076144 1274656 2152288 4102799 8205598 16411196 32822392 65644784 131289568