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131859040 = 2551495531
BaseRepresentation
bin1111101110000…
…00001001100000
3100012010010121011
413313000021200
5232223442130
621030110304
73160532455
oct767001140
9305103534
10131859040
1168481715
12381ab394
1321419a01
141372582c
15b89952a
hex7dc0260

131859040 has 48 divisors (see below), whose sum is σ = 313664400. Its totient is φ = 52380160.

The previous prime is 131859037. The next prime is 131859047. The reversal of 131859040 is 40958131.

It is a junction number, because it is equal to n+sod(n) for n = 131858993 and 131859011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131859047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21075 + ... + 26605.

It is an arithmetic number, because the mean of its divisors is an integer number (6534675).

Almost surely, 2131859040 is an apocalyptic number.

131859040 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 131859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156832200).

131859040 is an abundant number, since it is smaller than the sum of its proper divisors (181805360).

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

131859040 is a wasteful number, since it uses less digits than its factorization.

131859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 131859040 is about 11482.9891578805. The cubic root of 131859040 is about 508.9830304812.

Subtracting from 131859040 its reverse (40958131), we obtain a palindrome (90900909).

The spelling of 131859040 in words is "one hundred thirty-one million, eight hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 1192 1490 2384 2980 4768 5531 5960 11062 11920 22124 23840 27655 44248 55310 88496 110620 176992 221240 442480 824119 884960 1648238 3296476 4120595 6592952 8241190 13185904 16482380 26371808 32964760 65929520 131859040