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131369420 = 2257131929131
BaseRepresentation
bin1111101010010…
…00100111001100
3100011012020222002
413311020213030
5232112310140
621011411432
73153423140
oct765104714
9304166862
10131369420
1168177876
1237bb3b78
13212a7bb0
1413639220
15b7ee415
hex7d489cc

131369420 has 192 divisors, whose sum is σ = 372556800. Its totient is φ = 37739520.

The previous prime is 131369419. The next prime is 131369423. The reversal of 131369420 is 24963131.

It is a super-2 number, since 2×1313694202 = 34515849022272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (131369423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002755 + ... + 1002885.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2131369420 is an apocalyptic number.

131369420 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 131369420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

131369420 is an abundant number, since it is smaller than the sum of its proper divisors (241187380).

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

131369420 is a wasteful number, since it uses less digits than its factorization.

131369420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 131369420 is about 11461.6499684819. The cubic root of 131369420 is about 508.3522625457.

The spelling of 131369420 in words is "one hundred thirty-one million, three hundred sixty-nine thousand, four hundred twenty".