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1390202496 = 27321206773
BaseRepresentation
bin101001011011100…
…1100111010000000
310120212220121022100
41102313030322000
510321342434441
6345540510400
746310345334
oct12267147200
93525817270
101390202496
11653807791
123296ab400
1319202b137
14d28c17c4
15820abcb6
hex52dcce80

1390202496 has 48 divisors (see below), whose sum is σ = 4000455810. Its totient is φ = 463400448.

The previous prime is 1390202479. The next prime is 1390202503. The reversal of 1390202496 is 6942020931.

1390202496 is a `hidden beast` number, since 1 + 390 + 20 + 249 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 621804096 = 27720^2 + 24936^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1390202496.

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, 602235 + ... + 604538.

Almost surely, 21390202496 is an apocalyptic number.

1390202496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1390202496 is an abundant number, since it is smaller than the sum of its proper divisors (2610253314).

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

1390202496 is a wasteful number, since it uses less digits than its factorization.

1390202496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206793 (or 1206778 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1390202496 is about 37285.4193485872. The cubic root of 1390202496 is about 1116.0732213877.

The spelling of 1390202496 in words is "one billion, three hundred ninety million, two hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1206773 2413546 3620319 4827092 7240638 9654184 10860957 14481276 19308368 21721914 28962552 38616736 43443828 57925104 77233472 86887656 115850208 154466944 173775312 231700416 347550624 463400832 695101248 1390202496