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1379518464 = 21131131987
BaseRepresentation
bin101001000111001…
…1100100000000000
310120010210210120110
41102032130200000
510311124042324
6344515511320
746120466502
oct12216344000
93503723513
101379518464
1164877a705
12325bb8540
1318ca5a11c
14d12ddd72
158119b329
hex5239c800

1379518464 has 96 divisors (see below), whose sum is σ = 3712232160. Its totient is φ = 455540736.

The previous prime is 1379518451. The next prime is 1379518501. The reversal of 1379518464 is 4648159731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 693279 + ... + 695265.

It is an arithmetic number, because the mean of its divisors is an integer number (38669085).

Almost surely, 21379518464 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 1379518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856116080).

1379518464 is an abundant number, since it is smaller than the sum of its proper divisors (2332713696).

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

1379518464 is a wasteful number, since it uses less digits than its factorization.

1379518464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2105 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1379518464 is about 37141.8694198340. The cubic root of 1379518464 is about 1113.2067709247.

The spelling of 1379518464 in words is "one billion, three hundred seventy-nine million, five hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1024 1356 1536 1808 1987 2048 2712 3072 3616 3974 5424 5961 6144 7232 7948 10848 11922 14464 15896 21696 23844 28928 31792 43392 47688 57856 63584 86784 95376 115712 127168 173568 190752 224531 231424 254336 347136 381504 449062 508672 673593 694272 763008 898124 1017344 1347186 1526016 1796248 2034688 2694372 3052032 3592496 4069376 5388744 6104064 7184992 10777488 12208128 14369984 21554976 28739968 43109952 57479936 86219904 114959872 172439808 229919744 344879616 459839488 689759232 1379518464