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1380204864 = 26322396189
BaseRepresentation
bin101001001000100…
…0100000101000000
310120012002200010200
41102101010011000
510311313023424
6344542325200
746126355613
oct12221040500
93505080120
101380204864
116490a9385
12326289800
1318cc3a68c
14d143c17a
15812848c9
hex52444140

1380204864 has 42 divisors (see below), whose sum is σ = 3956109690. Its totient is φ = 460068096.

The previous prime is 1380204851. The next prime is 1380204887. The reversal of 1380204864 is 4684020831.

It can be written as a sum of positive squares in only one way, i.e., 751198464 + 629006400 = 27408^2 + 25080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1197519 + ... + 1198670.

Almost surely, 21380204864 is an apocalyptic number.

It is an amenable number.

1380204864 is an abundant number, since it is smaller than the sum of its proper divisors (2575904826).

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

1380204864 is a wasteful number, since it uses less digits than its factorization.

1380204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396207 (or 2396194 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1380204864 is about 37151.1085164360. The cubic root of 1380204864 is about 1113.3913711921.

It can be divided in two parts, 138020 and 4864, that added together give a square (142884 = 3782).

The spelling of 1380204864 in words is "one billion, three hundred eighty million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2396189 4792378 7188567 9584756 14377134 19169512 21565701 28754268 38339024 43131402 57508536 76678048 86262804 115017072 153356096 172525608 230034144 345051216 460068288 690102432 1380204864