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126456 = 23311479
BaseRepresentation
bin11110110111111000
320102110120
4132313320
513021311
62413240
71034451
oct366770
9212416
10126456
1187010
1261220
1345735
1434128
1527706
hex1edf8

126456 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 38240.

The previous prime is 126443. The next prime is 126457. The reversal of 126456 is 654621.

It is a super-2 number, since 2×1264562 = 31982239872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126456.

It is not an unprimeable number, because it can be changed into a prime (126457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2126456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

126456 is an abundant number, since it is smaller than the sum of its proper divisors (219144).

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

126456 is a wasteful number, since it uses less digits than its factorization.

126456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 126456 is about 355.6065241246. The cubic root of 126456 is about 50.1933844184.

The spelling of 126456 in words is "one hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 479 958 1437 1916 2874 3832 5269 5748 10538 11496 15807 21076 31614 42152 63228 126456