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131842060 = 225741103223
BaseRepresentation
bin1111101101111…
…00000000001100
3100012002021022021
413312330000030
5232222421220
621025455524
73160432120
oct766740014
9305067267
10131842060
116846a989
12381a15a4
132141206c
141371d580
15b8944aa
hex7dbc00c

131842060 has 96 divisors (see below), whose sum is σ = 328753152. Its totient is φ = 43476480.

The previous prime is 131842057. The next prime is 131842093. The reversal of 131842060 is 60248131.

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 31 ways as a sum of consecutive naturals, for example, 591109 + ... + 591331.

It is an arithmetic number, because the mean of its divisors is an integer number (3424512).

Almost surely, 2131842060 is an apocalyptic number.

131842060 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 131842060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376576).

131842060 is an abundant number, since it is smaller than the sum of its proper divisors (196911092).

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

131842060 is a wasteful number, since it uses less digits than its factorization.

131842060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 131842060 is about 11482.2497795510. The cubic root of 131842060 is about 508.9611816370.

The spelling of 131842060 in words is "one hundred thirty-one million, eight hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 103 140 164 205 206 223 287 410 412 446 515 574 721 820 892 1030 1115 1148 1435 1442 1561 2060 2230 2870 2884 3122 3605 4223 4460 5740 6244 7210 7805 8446 9143 14420 15610 16892 18286 21115 22969 29561 31220 36572 42230 45715 45938 59122 64001 84460 91430 91876 114845 118244 128002 147805 160783 182860 229690 256004 295610 320005 321566 459380 591220 640010 643132 803915 941729 1280020 1607830 1883458 3215660 3766916 4708645 6592103 9417290 13184206 18834580 26368412 32960515 65921030 131842060