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1456137420 = 223524268957
BaseRepresentation
bin101011011001010…
…1110010011001100
310202110222110000120
41112302232103030
510440232344140
6400254024540
751040651413
oct12662562314
93673873016
101456137420
11687a51661
123477a8150
131a28a559a
14db56647a
1587c831d0
hex56cae4cc

1456137420 has 24 divisors (see below), whose sum is σ = 4077184944. Its totient is φ = 388303296.

The previous prime is 1456137407. The next prime is 1456137437. The reversal of 1456137420 is 247316541.

1456137420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12134419 + ... + 12134538.

It is an arithmetic number, because the mean of its divisors is an integer number (169882706).

Almost surely, 21456137420 is an apocalyptic number.

1456137420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456137420 is an abundant number, since it is smaller than the sum of its proper divisors (2621047524).

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

1456137420 is a wasteful number, since it uses less digits than its factorization.

1456137420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24268969 (or 24268967 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1456137420 is about 38159.3687054700. The cubic root of 1456137420 is about 1133.4458782890.

The spelling of 1456137420 in words is "one billion, four hundred fifty-six million, one hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 24268957 48537914 72806871 97075828 121344785 145613742 242689570 291227484 364034355 485379140 728068710 1456137420