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1399374756 = 22321341361
BaseRepresentation
bin101001101101000…
…1100001110100100
310121112011121021200
41103122030032210
510331214443011
6350505242500
746451326533
oct12332141644
93545147250
101399374756
11658a01a6a
12330793430
13193bc0000
14d3bcc31a
1582cbe856
hex5368c3a4

1399374756 has 90 divisors (see below), whose sum is σ = 3834889422. Its totient is φ = 430260480.

The previous prime is 1399374733. The next prime is 1399374761. The reversal of 1399374756 is 6574739931.

It is a happy number.

1399374756 is a `hidden beast` number, since 139 + 9 + 37 + 475 + 6 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1334733156 + 64641600 = 36534^2 + 8040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1027516 + ... + 1028876.

Almost surely, 21399374756 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 1399374756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917444711).

1399374756 is an abundant number, since it is smaller than the sum of its proper divisors (2435514666).

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

1399374756 is a wasteful number, since it uses less digits than its factorization.

1399374756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1379 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The square root of 1399374756 is about 37408.2177602729. The cubic root of 1399374756 is about 1118.5223807241.

The spelling of 1399374756 in words is "one billion, three hundred ninety-nine million, three hundred seventy-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1361 1521 2028 2197 2722 3042 4083 4394 5444 6084 6591 8166 8788 12249 13182 16332 17693 19773 24498 26364 28561 35386 39546 48996 53079 57122 70772 79092 85683 106158 114244 159237 171366 212316 230009 257049 318474 342732 460018 514098 636948 690027 920036 1028196 1380054 2070081 2760108 2990117 4140162 5980234 8280324 8970351 11960468 17940702 26911053 35881404 38871521 53822106 77743042 107644212 116614563 155486084 233229126 349843689 466458252 699687378 1399374756