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1390564944 = 243222942169
BaseRepresentation
bin101001011100010…
…0101011001010000
310120220121000111100
41102320211121100
510321441034234
6345552344400
746313415126
oct12270453120
93526530440
101390564944
11653a3502a
12329845100
131921270c2
14d2977916
158212e399
hex52e25650

1390564944 has 60 divisors (see below), whose sum is σ = 3908737300. Its totient is φ = 461486592.

The previous prime is 1390564921. The next prime is 1390564961. The reversal of 1390564944 is 4494650931.

It can be written as a sum of positive squares in 2 ways, for example, as 1340438544 + 50126400 = 36612^2 + 7080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1390564944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11892 + ... + 54060.

Almost surely, 21390564944 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 1390564944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954368650).

1390564944 is an abundant number, since it is smaller than the sum of its proper divisors (2518172356).

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

1390564944 is a wasteful number, since it uses less digits than its factorization.

1390564944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42412 (or 42403 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1390564944 is about 37290.2794840693. The cubic root of 1390564944 is about 1116.1702056659.

The spelling of 1390564944 in words is "one billion, three hundred ninety million, five hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 42169 84338 126507 168676 253014 337352 379521 506028 674704 759042 1012056 1518084 2024112 3036168 6072336 9656701 19313402 28970103 38626804 57940206 77253608 86910309 115880412 154507216 173820618 231760824 347641236 463521648 695282472 1390564944