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1380395264 = 284722441
BaseRepresentation
bin101001001000111…
…0010100100000000
310120012110100022112
41102101302210000
510311340122024
6344550354452
746131110663
oct12221624400
93505410275
101380395264
11649219436
1232635ba28
1318cca6241
14d148b6da
15812c100e
hex52472900

1380395264 has 54 divisors (see below), whose sum is σ = 2816424534. Its totient is φ = 675235840.

The previous prime is 1380395243. The next prime is 1380395267. The reversal of 1380395264 is 4625930831.

It can be written as a sum of positive squares in only one way, i.e., 904806400 + 475588864 = 30080^2 + 21808^2 .

It is not an unprimeable number, because it can be changed into a prime (1380395267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 564284 + ... + 566724.

Almost surely, 21380395264 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 1380395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408212267).

1380395264 is an abundant number, since it is smaller than the sum of its proper divisors (1436029270).

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

1380395264 is an frugal number, since it uses more digits than its factorization.

1380395264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 1380395264 is about 37153.6709357232. The cubic root of 1380395264 is about 1113.4425664833.

The spelling of 1380395264 in words is "one billion, three hundred eighty million, three hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 2209 2441 3008 4418 4882 6016 8836 9764 12032 17672 19528 35344 39056 70688 78112 114727 141376 156224 229454 282752 312448 458908 565504 624896 917816 1835632 3671264 5392169 7342528 10784338 14685056 21568676 29370112 43137352 86274704 172549408 345098816 690197632 1380395264