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1372459680 = 253351923727
BaseRepresentation
bin101000111001110…
…0001001010100000
310112122112011202000
41101303201022200
510302322202210
6344104324000
746003500114
oct12163411240
93478464660
101372459680
116447992a9
12323773600
1318b458227
14d03c3744
1580754ac0
hex51ce12a0

1372459680 has 384 divisors, whose sum is σ = 5283532800. Its totient is φ = 331195392.

The previous prime is 1372459667. The next prime is 1372459721. The reversal of 1372459680 is 869542731.

1372459680 is a `hidden beast` number, since 1 + 37 + 24 + 596 + 8 + 0 = 666.

1372459680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

1372459680 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887477 + ... + 1888203.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

It is a 1-persistent number, because it is pandigital, but 2⋅1372459680 = 2744919360 is not.

Almost surely, 21372459680 is an apocalyptic number.

1372459680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641766400).

1372459680 is an abundant number, since it is smaller than the sum of its proper divisors (3911073120).

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

1372459680 is a wasteful number, since it uses less digits than its factorization.

1372459680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1372459680 is about 37046.7229319949. The cubic root of 1372459680 is about 1111.3048205678.

The spelling of 1372459680 in words is "one billion, three hundred seventy-two million, four hundred fifty-nine thousand, six hundred eighty".