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131423552 = 26131371153
BaseRepresentation
bin1111101010101…
…01110101000000
3100011022000012222
413311111311000
5232121023202
621012510212
73154040021
oct765256500
9304260188
10131423552
1168204507
123801b368
13212c6720
1413650c48
15b8104a2
hex7d55d40

131423552 has 56 divisors (see below), whose sum is σ = 283150056. Its totient is φ = 60162048.

The previous prime is 131423483. The next prime is 131423599. The reversal of 131423552 is 255324131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19571776 + 111851776 = 4424^2 + 10576^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113408 + ... + 114560.

It is an arithmetic number, because the mean of its divisors is an integer number (5056251).

Almost surely, 2131423552 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 131423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141575028).

131423552 is an abundant number, since it is smaller than the sum of its proper divisors (151726504).

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

131423552 is a wasteful number, since it uses less digits than its factorization.

131423552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1305 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 131423552 is about 11464.0111653819. The cubic root of 131423552 is about 508.4220767279.

Adding to 131423552 its reverse (255324131), we get a palindrome (386747683).

The spelling of 131423552 in words is "one hundred thirty-one million, four hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 137 208 274 416 548 832 1096 1153 1781 2192 2306 3562 4384 4612 7124 8768 9224 14248 14989 18448 28496 29978 36896 56992 59956 73792 113984 119912 157961 239824 315922 479648 631844 959296 1263688 2053493 2527376 4106986 5054752 8213972 10109504 16427944 32855888 65711776 131423552