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131731840 = 275375563
BaseRepresentation
bin1111101101000…
…01000110000000
3100011212200010001
413312201012000
5232210404330
621023245344
73156462562
oct766410600
9304780101
10131731840
11683a5099
1238149854
13213a3b46
14136d1332
15b8719ca
hex7da1180

131731840 has 64 divisors (see below), whose sum is σ = 323490960. Its totient is φ = 51259392.

The previous prime is 131731813. The next prime is 131731889. The reversal of 131731840 is 48137131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 131731799 and 131731808.

It is a congruent number.

It is an unprimeable number.

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, 20899 + ... + 26461.

Almost surely, 2131731840 is an apocalyptic number.

131731840 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 131731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161745480).

131731840 is an abundant number, since it is smaller than the sum of its proper divisors (191759120).

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

131731840 is an equidigital number, since it uses as much as digits as its factorization.

131731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 131731840 is about 11477.4491939629. The cubic root of 131731840 is about 508.8193115305.

Adding to 131731840 its reverse (48137131), we get a palindrome (179868971).

The spelling of 131731840 in words is "one hundred thirty-one million, seven hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5563 5920 11126 11840 22252 23680 27815 44504 55630 89008 111260 178016 205831 222520 356032 411662 445040 712064 823324 890080 1029155 1646648 1780160 2058310 3293296 3560320 4116620 6586592 8233240 13173184 16466480 26346368 32932960 65865920 131731840