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131669216 = 2571771487
BaseRepresentation
bin1111101100100…
…01110011100000
3100011202111012122
413312101303200
5232201403331
621022043412
73156112160
oct766216340
9304674178
10131669216
1168362038
1238119568
13213814a3
14136b65a0
15b85d17b
hex7d91ce0

131669216 has 96 divisors (see below), whose sum is σ = 318753792. Its totient is φ = 52254720.

The previous prime is 131669203. The next prime is 131669243. The reversal of 131669216 is 612966131.

It is a congruent number.

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, 270125 + ... + 270611.

It is an arithmetic number, because the mean of its divisors is an integer number (3320352).

Almost surely, 2131669216 is an apocalyptic number.

131669216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131669216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376896).

131669216 is an abundant number, since it is smaller than the sum of its proper divisors (187084576).

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

131669216 is a wasteful number, since it uses less digits than its factorization.

131669216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 131669216 is about 11474.7207373426. The cubic root of 131669216 is about 508.7386695454.

The spelling of 131669216 in words is "one hundred thirty-one million, six hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 71 112 119 136 142 224 238 272 284 476 487 497 544 568 952 974 994 1136 1207 1904 1948 1988 2272 2414 3409 3808 3896 3976 4828 6818 7792 7952 8279 8449 9656 13636 15584 15904 16558 16898 19312 27272 33116 33796 34577 38624 54544 57953 66232 67592 69154 109088 115906 132464 135184 138308 231812 242039 264928 270368 276616 463624 484078 553232 587809 927248 968156 1106464 1175618 1854496 1936312 2351236 3872624 4114663 4702472 7745248 8229326 9404944 16458652 18809888 32917304 65834608 131669216