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126461360 = 2452368729
BaseRepresentation
bin1111000100110…
…10010110110000
322210221220101002
413202122112300
5224333230420
620314301132
73063622004
oct742322660
9283856332
10126461360
1165425323
12364277a8
1320279c0c
1412b1c704
15b180075
hex789a5b0

126461360 has 40 divisors (see below), whose sum is σ = 306810720. Its totient is φ = 48384512.

The previous prime is 126461347. The next prime is 126461371. The reversal of 126461360 is 63164621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32525 + ... + 36204.

It is an arithmetic number, because the mean of its divisors is an integer number (7670268).

Almost surely, 2126461360 is an apocalyptic number.

126461360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126461360 is an abundant number, since it is smaller than the sum of its proper divisors (180349360).

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

126461360 is a wasteful number, since it uses less digits than its factorization.

126461360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68765 (or 68759 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 126461360 is about 11245.5039904844. The cubic root of 126461360 is about 501.9409357873.

The spelling of 126461360 in words is "one hundred twenty-six million, four hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 68729 137458 274916 343645 549832 687290 1099664 1374580 1580767 2749160 3161534 5498320 6323068 7903835 12646136 15807670 25292272 31615340 63230680 126461360