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131880696 = 233173110427
BaseRepresentation
bin1111101110001…
…01011011111000
3100012011020022020
413313011123320
5232230140241
621030354440
73160652553
oct767053370
9305136266
10131880696
1168496a12
12381bba20
132142681c
141372d69a
15b8a0b66
hex7dc56f8

131880696 has 64 divisors (see below), whose sum is σ = 360391680. Its totient is φ = 40035840.

The previous prime is 131880673. The next prime is 131880701. The reversal of 131880696 is 696088131.

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 15 ways as a sum of consecutive naturals, for example, 7435 + ... + 17861.

It is an arithmetic number, because the mean of its divisors is an integer number (5631120).

Almost surely, 2131880696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131880696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180195840).

131880696 is an abundant number, since it is smaller than the sum of its proper divisors (228510984).

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

131880696 is a wasteful number, since it uses less digits than its factorization.

131880696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 131880696 is about 11483.9320792140. The cubic root of 131880696 is about 509.0108933999.

The spelling of 131880696 in words is "one hundred thirty-one million, eight hundred eighty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 10427 12648 20854 31281 41708 62562 83416 125124 177259 250248 323237 354518 531777 646474 709036 969711 1063554 1292948 1418072 1939422 2127108 2585896 3878844 4254216 5495029 7757688 10990058 16485087 21980116 32970174 43960232 65940348 131880696