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131904150 = 23527269467
BaseRepresentation
bin1111101110010…
…11001010010110
3100012012102110220
413313023022112
5232231413100
621031055210
73161111130
oct767131226
9305172426
10131904150
11685025a4
1238211506
13214343c1
1413738050
15b8a7aa0
hex7dcb296

131904150 has 96 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 29973120.

The previous prime is 131904107. The next prime is 131904161. The reversal of 131904150 is 51409131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131904150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282217 + ... + 282683.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2131904150 is an apocalyptic number.

131904150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131904150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

131904150 is an abundant number, since it is smaller than the sum of its proper divisors (244143210).

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

131904150 is a wasteful number, since it uses less digits than its factorization.

131904150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 131904150 is about 11484.9531997305. The cubic root of 131904150 is about 509.0410662106.

The spelling of 131904150 in words is "one hundred thirty-one million, nine hundred four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 269 350 467 525 538 807 934 1050 1345 1401 1614 1883 2335 2690 2802 3269 3766 4035 4670 5649 6538 6725 7005 8070 9415 9807 11298 11675 13450 14010 16345 18830 19614 20175 23350 28245 32690 35025 40350 47075 49035 56490 70050 81725 94150 98070 125623 141225 163450 245175 251246 282450 376869 490350 628115 753738 879361 1256230 1758722 1884345 2638083 3140575 3768690 4396805 5276166 6281150 8793610 9421725 13190415 18843450 21984025 26380830 43968050 65952075 131904150