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131411360 = 2551748313
BaseRepresentation
bin1111101010100…
…10110110100000
3100011021101111102
413311102312200
5232120130420
621012333532
73153656333
oct765226640
9304241442
10131411360
11681a6333
12380142a8
13212c1002
141364a61a
15b80ba75
hex7d52da0

131411360 has 48 divisors (see below), whose sum is σ = 328728456. Its totient is φ = 49471488.

The previous prime is 131411347. The next prime is 131411363. The reversal of 131411360 is 63114131.

It can be written as a sum of positive squares in 4 ways, for example, as 108409744 + 23001616 = 10412^2 + 4796^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131411363) 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, 21437 + ... + 26876.

Almost surely, 2131411360 is an apocalyptic number.

131411360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131411360 is an abundant number, since it is smaller than the sum of its proper divisors (197317096).

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

131411360 is a wasteful number, since it uses less digits than its factorization.

131411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48345 (or 48337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 131411360 is about 11463.4794019966. The cubic root of 131411360 is about 508.4063543464.

Adding to 131411360 its reverse (63114131), we get a palindrome (194525491).

The spelling of 131411360 in words is "one hundred thirty-one million, four hundred eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 48313 96626 193252 241565 386504 483130 773008 821321 966260 1546016 1642642 1932520 3285284 3865040 4106605 6570568 7730080 8213210 13141136 16426420 26282272 32852840 65705680 131411360