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126390096 = 24327125387
BaseRepresentation
bin1111000100010…
…00111101010000
322210211021121200
413202020331100
5224323440341
620312551200
73063204150
oct742107520
9283737550
10126390096
1165386828
12363b2500
1320253651
1412b00760
15b168db6
hex7888f50

126390096 has 60 divisors (see below), whose sum is σ = 404250912. Its totient is φ = 36111168.

The previous prime is 126390049. The next prime is 126390133. The reversal of 126390096 is 690093621.

126390096 is a `hidden beast` number, since 12 + 639 + 0 + 0 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126390096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61686 + ... + 63701.

Almost surely, 2126390096 is an apocalyptic number.

126390096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126390096 is an abundant number, since it is smaller than the sum of its proper divisors (277860816).

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

126390096 is a wasteful number, since it uses less digits than its factorization.

126390096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125408 (or 125399 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 126390096 is about 11242.3349887824. The cubic root of 126390096 is about 501.8466328316.

The spelling of 126390096 in words is "one hundred twenty-six million, three hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 125387 250774 376161 501548 752322 877709 1003096 1128483 1504644 1755418 2006192 2256966 2633127 3009288 3510836 4513932 5266254 6018576 7021672 7899381 9027864 10532508 14043344 15798762 18055728 21065016 31597524 42130032 63195048 126390096