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1397623104 = 26324195791
BaseRepresentation
bin101001101001110…
…0000100101000000
310121101212121110200
41103103200211000
510330242414404
6350403525200
746430412633
oct12323404500
93541777420
101397623104
11657a15a19
12330089800
13193728927
14d3893c1a
1582a75839
hex534e0940

1397623104 has 84 divisors (see below), whose sum is σ = 4016288640. Its totient is φ = 464682240.

The previous prime is 1397623081. The next prime is 1397623133. The reversal of 1397623104 is 4013267931.

1397623104 is a `hidden beast` number, since 13 + 9 + 7 + 623 + 10 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238449 + ... + 244239.

It is an arithmetic number, because the mean of its divisors is an integer number (47812960).

Almost surely, 21397623104 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 1397623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008144320).

1397623104 is an abundant number, since it is smaller than the sum of its proper divisors (2618665536).

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

1397623104 is a wasteful number, since it uses less digits than its factorization.

1397623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1397623104 is about 37384.7977659369. The cubic root of 1397623104 is about 1118.0554864866.

The spelling of 1397623104 in words is "one billion, three hundred ninety-seven million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 419 576 838 1257 1676 2514 3352 3771 5028 5791 6704 7542 10056 11582 13408 15084 17373 20112 23164 26816 30168 34746 40224 46328 52119 60336 69492 80448 92656 104238 120672 138984 185312 208476 241344 277968 370624 416952 555936 833904 1111872 1667808 2426429 3335616 4852858 7279287 9705716 14558574 19411432 21837861 29117148 38822864 43675722 58234296 77645728 87351444 116468592 155291456 174702888 232937184 349405776 465874368 698811552 1397623104