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131430552 = 233112917167
BaseRepresentation
bin1111101010101…
…11100010011000
3100011022100211020
413311113202120
5232121234202
621013002440
73154066311
oct765274230
9304270736
10131430552
11682097a0
1238023420
13212c9976
1413653608
15b8125bc
hex7d57898

131430552 has 64 divisors (see below), whose sum is σ = 370828800. Its totient is φ = 38451840.

The previous prime is 131430529. The next prime is 131430599. The reversal of 131430552 is 255034131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928 + ... + 16239.

It is an arithmetic number, because the mean of its divisors is an integer number (5794200).

Almost surely, 2131430552 is an apocalyptic number.

131430552 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 131430552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185414400).

131430552 is an abundant number, since it is smaller than the sum of its proper divisors (239398248).

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

131430552 is a wasteful number, since it uses less digits than its factorization.

131430552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17216 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 131430552 is about 11464.3164645783. The cubic root of 131430552 is about 508.4311032463.

Adding to 131430552 its reverse (255034131), we get a palindrome (386464683).

The spelling of 131430552 in words is "one hundred thirty-one million, four hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 17167 34334 51501 68668 103002 137336 188837 206004 377674 412008 497843 566511 755348 995686 1133022 1493529 1510696 1991372 2266044 2987058 3982744 4532088 5476273 5974116 10952546 11948232 16428819 21905092 32857638 43810184 65715276 131430552