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131873720 = 235112383157
BaseRepresentation
bin1111101110000…
…11101110111000
3100012010212201212
413313003232320
5232224424340
621030302252
73160623326
oct767035670
9305125655
10131873720
1168491750
12381b7988
13214235b4
141372ad16
15b89da65
hex7dc3bb8

131873720 has 128 divisors (see below), whose sum is σ = 344010240. Its totient is φ = 45027840.

The previous prime is 131873719. The next prime is 131873741. The reversal of 131873720 is 27378131.

131873720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839882 + ... + 840038.

It is an arithmetic number, because the mean of its divisors is an integer number (2687580).

Almost surely, 2131873720 is an apocalyptic number.

131873720 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 131873720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172005120).

131873720 is an abundant number, since it is smaller than the sum of its proper divisors (212136520).

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

131873720 is a wasteful number, since it uses less digits than its factorization.

131873720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 131873720 is about 11483.6283464766. The cubic root of 131873720 is about 509.0019183118.

The spelling of 131873720 in words is "one hundred thirty-one million, eight hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 83 88 92 110 115 157 166 184 220 230 253 314 332 415 440 460 506 628 664 785 830 913 920 1012 1256 1265 1570 1660 1727 1826 1909 2024 2530 3140 3320 3454 3611 3652 3818 4565 5060 6280 6908 7222 7304 7636 8635 9130 9545 10120 13031 13816 14444 15272 17270 18055 18260 19090 20999 26062 28888 34540 36110 36520 38180 39721 41998 52124 65155 69080 72220 76360 79442 83996 104248 104995 130310 143341 144440 158884 167992 198605 209990 260620 286682 299713 317768 397210 419980 521240 573364 599426 716705 794420 839960 1146728 1198852 1433410 1498565 1588840 2397704 2866820 2997130 3296843 5733640 5994260 6593686 11988520 13187372 16484215 26374744 32968430 65936860 131873720