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131973856 = 2572174951
BaseRepresentation
bin1111101110111…
…00001011100000
3100012022222002121
413313130023200
5232241130411
621032354024
73161521300
oct767341340
9305288077
10131973856
116854aa03
1238245914
132145a051
1413755600
15b8bd571
hex7ddc2e0

131973856 has 72 divisors (see below), whose sum is σ = 320087376. Its totient is φ = 53222400.

The previous prime is 131973841. The next prime is 131973871. The reversal of 131973856 is 658379131.

It is an interprime number because it is at equal distance from previous prime (131973841) and next prime (131973871).

It is a congruent number.

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, 24181 + ... + 29131.

It is an arithmetic number, because the mean of its divisors is an integer number (4445658).

Almost surely, 2131973856 is an apocalyptic number.

131973856 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 131973856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160043688).

131973856 is an abundant number, since it is smaller than the sum of its proper divisors (188113520).

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

131973856 is a wasteful number, since it uses less digits than its factorization.

131973856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 4977 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 131973856 is about 11487.9874651742. The cubic root of 131973856 is about 509.1307196140.

The spelling of 131973856 in words is "one hundred thirty-one million, nine hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 4951 6664 9902 13328 19804 26656 34657 39608 69314 79216 84167 138628 158432 168334 242599 277256 336668 485198 554512 589169 673336 970396 1109024 1178338 1346672 1940792 2356676 2693344 3881584 4124183 4713352 7763168 8248366 9426704 16496732 18853408 32993464 65986928 131973856