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131855040 = 263455087
BaseRepresentation
bin1111101101111…
…11001011000000
3100012002221010000
413312333023000
5232223330130
621030040000
73160515012
oct766771300
9305087100
10131855040
1168479709
12381a9000
1321417c45
14137241b2
15b898260
hex7dbf2c0

131855040 has 140 divisors (see below), whose sum is σ = 469123776. Its totient is φ = 35154432.

The previous prime is 131855039. The next prime is 131855081. The reversal of 131855040 is 40558131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131854995 and 131855013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23377 + ... + 28463.

Almost surely, 2131855040 is an apocalyptic number.

131855040 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 131855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234561888).

131855040 is an abundant number, since it is smaller than the sum of its proper divisors (337268736).

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

131855040 is an equidigital number, since it uses as much as digits as its factorization.

131855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 131855040 is about 11482.8149858822. The cubic root of 131855040 is about 508.9778836903.

It can be divided in two parts, 13185 and 5040, that added together give a square (18225 = 1352).

The spelling of 131855040 in words is "one hundred thirty-one million, eight hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5087 5184 6480 8640 10174 12960 15261 20348 25435 25920 30522 40696 45783 50870 61044 76305 81392 91566 101740 122088 137349 152610 162784 183132 203480 228915 244176 274698 305220 325568 366264 406960 412047 457830 488352 549396 610440 686745 732528 813920 824094 915660 976704 1098792 1220880 1373490 1465056 1627840 1648188 1831320 2060235 2197584 2441760 2746980 2930112 3296376 3662640 4120470 4395168 4883520 5493960 6592752 7325280 8240940 8790336 10987920 13185504 14650560 16481880 21975840 26371008 32963760 43951680 65927520 131855040