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131377092 = 223711142183
BaseRepresentation
bin1111101010010…
…10011111000100
3100011012122111020
413311022133010
5232113031332
621011511140
73153454410
oct765123704
9304178436
10131377092
1168182610
1237bb84b0
13212ab532
141363bd40
15b80182c
hex7d4a7c4

131377092 has 48 divisors (see below), whose sum is σ = 382190592. Its totient is φ = 34123680.

The previous prime is 131377073. The next prime is 131377111. The reversal of 131377092 is 290773131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131377073) and next prime (131377111).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70168 + ... + 72015.

It is an arithmetic number, because the mean of its divisors is an integer number (7962304).

Almost surely, 2131377092 is an apocalyptic number.

131377092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131377092 is an abundant number, since it is smaller than the sum of its proper divisors (250813500).

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

131377092 is a wasteful number, since it uses less digits than its factorization.

131377092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142208 (or 142206 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 131377092 is about 11461.9846449033. The cubic root of 131377092 is about 508.3621583105.

The spelling of 131377092 in words is "one hundred thirty-one million, three hundred seventy-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 142183 284366 426549 568732 853098 995281 1564013 1706196 1990562 2985843 3128026 3981124 4692039 5971686 6256052 9384078 10948091 11943372 18768156 21896182 32844273 43792364 65688546 131377092