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126881604 = 2232891992
BaseRepresentation
bin1111001000000…
…00111101000100
322211202020211200
413210000331010
5224440202404
620331302500
73100322133
oct744007504
9284666750
10126881604
1165692033
12365aaa30
1320396295
1412bcb91a
15b214839
hex7900f44

126881604 has 54 divisors (see below), whose sum is σ = 325970190. Its totient is φ = 41608512.

The previous prime is 126881581. The next prime is 126881611. The reversal of 126881604 is 406188621.

It can be written as a sum of positive squares in only one way, i.e., 91240704 + 35640900 = 9552^2 + 5970^2 .

It is a super-2 number, since 2×1268816042 = 32197882867225632, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 637497 + ... + 637695.

It is an arithmetic number, because the mean of its divisors is an integer number (6036485).

Almost surely, 2126881604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126881604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162985095).

126881604 is an abundant number, since it is smaller than the sum of its proper divisors (199088586).

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

126881604 is a wasteful number, since it uses less digits than its factorization.

126881604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 126881604 is about 11264.1734716756. The cubic root of 126881604 is about 502.4963213513.

The spelling of 126881604 in words is "one hundred twenty-six million, eight hundred eighty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 199 267 356 398 534 597 796 801 1068 1194 1602 1791 2388 3204 3582 7164 17711 35422 39601 53133 70844 79202 106266 118803 158404 159399 212532 237606 318798 356409 475212 637596 712818 1425636 3524489 7048978 10573467 14097956 21146934 31720401 42293868 63440802 126881604