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1379454720 = 28357193773
BaseRepresentation
bin101001000111000…
…1100111100000000
310120010200120010120
41102032030330000
510311120022340
6344514300240
746120112610
oct12216147400
93503616116
101379454720
11648736826
12325b87680
1318ca370c7
14d12c4a40
15811874d0
hex5238cf00

1379454720 has 576 divisors, whose sum is σ = 5517818880. Its totient is φ = 286654464.

The previous prime is 1379454719. The next prime is 1379454731. The reversal of 1379454720 is 274549731.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

1379454720 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 18896604 + ... + 18896676.

Almost surely, 21379454720 is an apocalyptic number.

1379454720 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 1379454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758909440).

1379454720 is an abundant number, since it is smaller than the sum of its proper divisors (4138364160).

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

1379454720 is a wasteful number, since it uses less digits than its factorization.

1379454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 1379454720 is about 37141.0112947938. The cubic root of 1379454720 is about 1113.1896245200.

The spelling of 1379454720 in words is "one billion, three hundred seventy-nine million, four hundred fifty-four thousand, seven hundred twenty".