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1375609368 = 23374124871
BaseRepresentation
bin101000111111110…
…0010001000011000
310112212110012022010
41101333202020120
510304123444433
6344300025520
746042325640
oct12177421030
93485405263
101375609368
1164654a751
123248322a0
1318bcbba53
14d09a3520
1580b77e63
hex51fe2218

1375609368 has 96 divisors (see below), whose sum is σ = 4029338880. Its totient is φ = 383366400.

The previous prime is 1375609363. The next prime is 1375609387. The reversal of 1375609368 is 8639065731.

It is a happy number.

It is a super-2 number, since 2×13756093682 = 3784602266658718848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375609363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279973 + ... + 284843.

It is an arithmetic number, because the mean of its divisors is an integer number (41972280).

Almost surely, 21375609368 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 1375609368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014669440).

1375609368 is an abundant number, since it is smaller than the sum of its proper divisors (2653729512).

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

1375609368 is a wasteful number, since it uses less digits than its factorization.

1375609368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 1375609368 is about 37089.2082417514. The cubic root of 1375609368 is about 1112.1542903935.

The spelling of 1375609368 in words is "one billion, three hundred seventy-five million, six hundred nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1681 1722 2296 3362 3444 4871 5043 6724 6888 9742 10086 11767 13448 14613 19484 20172 23534 29226 34097 35301 38968 40344 47068 58452 68194 70602 94136 102291 116904 136388 141204 199711 204582 272776 282408 399422 409164 599133 798844 818328 1198266 1397977 1597688 2396532 2795954 4193931 4793064 5591908 8188151 8387862 11183816 16376302 16775724 24564453 32752604 33551448 49128906 57317057 65505208 98257812 114634114 171951171 196515624 229268228 343902342 458536456 687804684 1375609368