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131774976 = 293228597
BaseRepresentation
bin1111101101010…
…11101000000000
3100011221212021200
413312223220000
5232213244401
621024221200
73160032414
oct766535000
9304855250
10131774976
1168424543
123816a800
13213ba678
1413702d44
15b87e686
hex7daba00

131774976 has 60 divisors (see below), whose sum is σ = 380324802. Its totient is φ = 43923456.

The previous prime is 131774971. The next prime is 131774983. The reversal of 131774976 is 679477131.

It is a happy number.

131774976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 61214976 = 8400^2 + 7824^2 .

It is not an unprimeable number, because it can be changed into a prime (131774971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9691 + ... + 18906.

Almost surely, 2131774976 is an apocalyptic number.

131774976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131774976 is an abundant number, since it is smaller than the sum of its proper divisors (248549826).

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

131774976 is an equidigital number, since it uses as much as digits as its factorization.

131774976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28621 (or 28602 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 131774976 is about 11479.3282033401. The cubic root of 131774976 is about 508.8748436240.

The spelling of 131774976 in words is "one hundred thirty-one million, seven hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 28597 57194 85791 114388 171582 228776 257373 343164 457552 514746 686328 915104 1029492 1372656 1830208 2058984 2745312 3660416 4117968 5490624 7320832 8235936 10981248 14641664 16471872 21962496 32943744 43924992 65887488 131774976