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131521420 = 225192831223
BaseRepresentation
bin1111101011011…
…01101110001100
3100011110222110201
413311231232030
5232132141140
621014543244
73154625242
oct765555614
9304428421
10131521420
1168270a98
1238067b24
132132c134
1413678792
15b82e49a
hex7d6db8c

131521420 has 48 divisors (see below), whose sum is σ = 291997440. Its totient is φ = 49622976.

The previous prime is 131521393. The next prime is 131521433. The reversal of 131521420 is 24125131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106929 + ... + 108151.

It is an arithmetic number, because the mean of its divisors is an integer number (6083280).

Almost surely, 2131521420 is an apocalyptic number.

131521420 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 131521420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145998720).

131521420 is an abundant number, since it is smaller than the sum of its proper divisors (160476020).

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

131521420 is a wasteful number, since it uses less digits than its factorization.

131521420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 131521420 is about 11468.2788595325. The cubic root of 131521420 is about 508.5482486985.

Adding to 131521420 its reverse (24125131), we get a palindrome (155646551).

The spelling of 131521420 in words is "one hundred thirty-one million, five hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 283 380 566 1132 1223 1415 2446 2830 4892 5377 5660 6115 10754 12230 21508 23237 24460 26885 46474 53770 92948 107540 116185 232370 346109 464740 692218 1384436 1730545 3461090 6576071 6922180 13152142 26304284 32880355 65760710 131521420