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616131396 = 223283920399
BaseRepresentation
bin100100101110010…
…110101101000100
31120221100201101100
4210232112231010
52230212201041
6141045500100
721161013306
oct4456265504
91527321340
10616131396
11296876701
12152411630
139a8561ba
145bb85976
15391576b6
hex24b96b44

616131396 has 36 divisors (see below), whose sum is σ = 1559376000. Its totient is φ = 205122288.

The previous prime is 616131389. The next prime is 616131401. The reversal of 616131396 is 693131616.

616131396 is a `hidden beast` number, since 6 + 1 + 613 + 1 + 39 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 616131396.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20005 + ... + 40403.

It is an arithmetic number, because the mean of its divisors is an integer number (43316000).

Almost surely, 2616131396 is an apocalyptic number.

It is an amenable number.

616131396 is an abundant number, since it is smaller than the sum of its proper divisors (943244604).

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

616131396 is a wasteful number, since it uses less digits than its factorization.

616131396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248 (or 21243 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 616131396 is about 24821.9941986940. The cubic root of 616131396 is about 850.9246666381.

The spelling of 616131396 in words is "six hundred sixteen million, one hundred thirty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 839 1678 2517 3356 5034 7551 10068 15102 20399 30204 40798 61197 81596 122394 183591 244788 367182 734364 17114761 34229522 51344283 68459044 102688566 154032849 205377132 308065698 616131396