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131780808 = 23321996331
BaseRepresentation
bin1111101101011…
…01000011001000
3100011222011021200
413312231003020
5232213441213
621024304200
73160055415
oct766550310
9304864250
10131780808
1168428965
1238172060
13213c0213
141370510c
15b881273
hex7dad0c8

131780808 has 48 divisors (see below), whose sum is σ = 375694800. Its totient is φ = 41614560.

The previous prime is 131780797. The next prime is 131780813. The reversal of 131780808 is 808087131.

It is a super-6 number, since 6×1317808086 (a number of 50 digits) contains 666666 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46798 + ... + 49533.

It is an arithmetic number, because the mean of its divisors is an integer number (7826975).

Almost surely, 2131780808 is an apocalyptic number.

131780808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131780808 is an abundant number, since it is smaller than the sum of its proper divisors (243913992).

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

131780808 is a wasteful number, since it uses less digits than its factorization.

131780808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96362 (or 96355 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 131780808 is about 11479.5822223633. The cubic root of 131780808 is about 508.8823506495.

The spelling of 131780808 in words is "one hundred thirty-one million, seven hundred eighty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 96331 192662 288993 385324 577986 770648 866979 1155972 1733958 1830289 2311944 3467916 3660578 5490867 6935832 7321156 10981734 14642312 16472601 21963468 32945202 43926936 65890404 131780808