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131893350 = 23522233943
BaseRepresentation
bin1111101110010…
…00100001100110
3100012011212122220
413313020201212
5232231041400
621030533210
73161034501
oct767104146
9305155586
10131893350
11684a5476
1238207206
132142c504
1413734138
15b8a47a0
hex7dc8866

131893350 has 48 divisors (see below), whose sum is σ = 328645632. Its totient is φ = 35004960.

The previous prime is 131893343. The next prime is 131893373. The reversal of 131893350 is 53398131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31479 + ... + 35421.

It is an arithmetic number, because the mean of its divisors is an integer number (6846784).

Almost surely, 2131893350 is an apocalyptic number.

131893350 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 131893350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164322816).

131893350 is an abundant number, since it is smaller than the sum of its proper divisors (196752282).

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

131893350 is a wasteful number, since it uses less digits than its factorization.

131893350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 131893350 is about 11484.4830096962. The cubic root of 131893350 is about 509.0271728050.

The spelling of 131893350 in words is "one hundred thirty-one million, eight hundred ninety-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 223 446 669 1115 1338 2230 3345 3943 5575 6690 7886 11150 11829 16725 19715 23658 33450 39430 59145 98575 118290 197150 295725 591450 879289 1758578 2637867 4396445 5275734 8792890 13189335 21982225 26378670 43964450 65946675 131893350