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126472086 = 232131134783
BaseRepresentation
bin1111000100111…
…00111110010110
322210222110002100
413202130332112
5224334101321
620314422530
73063665166
oct742347626
9283873070
10126472086
1165432394
1236431a46
1320281a70
1412b225a6
15b183326
hex789cf96

126472086 has 48 divisors (see below), whose sum is σ = 297775296. Its totient is φ = 38562048.

The previous prime is 126472067. The next prime is 126472091. The reversal of 126472086 is 680274621.

126472086 is a `hidden beast` number, since 1 + 2 + 647 + 2 + 0 + 8 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 126472086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24051 + ... + 28833.

It is an arithmetic number, because the mean of its divisors is an integer number (6203652).

Almost surely, 2126472086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126472086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148887648).

126472086 is an abundant number, since it is smaller than the sum of its proper divisors (171303210).

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

126472086 is a wasteful number, since it uses less digits than its factorization.

126472086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126472086 is about 11245.9808820752. The cubic root of 126472086 is about 501.9551263307.

The spelling of 126472086 in words is "one hundred twenty-six million, four hundred seventy-two thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 4783 8814 9566 13221 14349 26442 28698 43047 62179 86094 124358 186537 373074 540479 559611 1080958 1119222 1621437 3242874 4864311 7026227 9728622 14052454 21078681 42157362 63236043 126472086