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126434412 = 22331390053
BaseRepresentation
bin1111000100100…
…11110001101100
322210220112102000
413202103301230
5224331400122
620313532300
73063450306
oct742236154
9283815360
10126434412
1165407055
1236414090
132026a880
1412b12976
15b1770ac
hex7893c6c

126434412 has 48 divisors (see below), whose sum is σ = 353011680. Its totient is φ = 38902464.

The previous prime is 126434411. The next prime is 126434431. The reversal of 126434412 is 214434621.

It is a happy number.

126434412 is a `hidden beast` number, since 1 + 2 + 643 + 4 + 4 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126434411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43623 + ... + 46430.

It is an arithmetic number, because the mean of its divisors is an integer number (7354410).

Almost surely, 2126434412 is an apocalyptic number.

126434412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126434412 is an abundant number, since it is smaller than the sum of its proper divisors (226577268).

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

126434412 is a wasteful number, since it uses less digits than its factorization.

126434412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90079 (or 90071 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 126434412 is about 11244.3057589164. The cubic root of 126434412 is about 501.9052799283.

The spelling of 126434412 in words is "one hundred twenty-six million, four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 90053 180106 270159 360212 540318 810477 1080636 1170689 1620954 2341378 2431431 3241908 3512067 4682756 4862862 7024134 9725724 10536201 14048268 21072402 31608603 42144804 63217206 126434412