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131132440 = 23537251353
BaseRepresentation
bin1111101000011…
…10110000011000
3100010202012220001
413310032300120
5232032214230
621002342344
73151415215
oct764166030
9303665801
10131132440
116802581a
1237aba9b4
132122407a
14135b6b0c
15b7a40ca
hex7d0ec18

131132440 has 64 divisors (see below), whose sum is σ = 305091360. Its totient is φ = 50688000.

The previous prime is 131132437. The next prime is 131132483. The reversal of 131132440 is 44231131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371304 + ... + 371656.

Almost surely, 2131132440 is an apocalyptic number.

131132440 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 131132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152545680).

131132440 is an abundant number, since it is smaller than the sum of its proper divisors (173958920).

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

131132440 is a wasteful number, since it uses less digits than its factorization.

131132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 131132440 is about 11451.3073489449. The cubic root of 131132440 is about 508.0464028541.

Adding to 131132440 its reverse (44231131), we get a palindrome (175363571).

The spelling of 131132440 in words is "one hundred thirty-one million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 251 296 353 370 502 706 740 1004 1255 1412 1480 1765 2008 2510 2824 3530 5020 7060 9287 10040 13061 14120 18574 26122 37148 46435 52244 65305 74296 88603 92870 104488 130610 177206 185740 261220 354412 371480 443015 522440 708824 886030 1772060 3278311 3544120 6556622 13113244 16391555 26226488 32783110 65566220 131132440