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126180960 = 2535262877
BaseRepresentation
bin1111000010101…
…01111001100000
322210102122201220
413201111321200
5224300242320
620304255040
73061343343
oct741257140
9283378656
10126180960
1165253694
1236311480
13201ac3b9
1412a8845a
15b126e40
hex7855e60

126180960 has 48 divisors (see below), whose sum is σ = 397471536. Its totient is φ = 33648128.

The previous prime is 126180959. The next prime is 126181007. The reversal of 126180960 is 69081621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 130959 + ... + 131918.

It is an arithmetic number, because the mean of its divisors is an integer number (8280657).

Almost surely, 2126180960 is an apocalyptic number.

126180960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126180960 is an abundant number, since it is smaller than the sum of its proper divisors (271290576).

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

126180960 is a wasteful number, since it uses less digits than its factorization.

126180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262895 (or 262887 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 126180960 is about 11233.0298673154. The cubic root of 126180960 is about 501.5696803836.

The spelling of 126180960 in words is "one hundred twenty-six million, one hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 262877 525754 788631 1051508 1314385 1577262 2103016 2628770 3154524 3943155 4206032 5257540 6309048 7886310 8412064 10515080 12618096 15772620 21030160 25236192 31545240 42060320 63090480 126180960