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1368831376 = 241121136257
BaseRepresentation
bin101000110010110…
…1011010110010000
310112101200211122101
41101211223112100
510300410101001
6343454450144
745630606013
oct12145532620
93471624571
101368831376
11642740300
12322503954
1318a7878c3
14cdb1b37a
1580289a01
hex5196b590

1368831376 has 60 divisors (see below), whose sum is σ = 2941397676. Its totient is φ = 616591360.

The previous prime is 1368831353. The next prime is 1368831389. The reversal of 1368831376 is 6731388631.

It can be written as a sum of positive squares in 2 ways, for example, as 706283776 + 662547600 = 26576^2 + 25740^2 .

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, 215640 + ... + 221896.

Almost surely, 21368831376 is an apocalyptic number.

1368831376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368831376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470698838).

1368831376 is an abundant number, since it is smaller than the sum of its proper divisors (1572566300).

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

1368831376 is a wasteful number, since it uses less digits than its factorization.

1368831376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6383 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 1368831376 is about 36997.7212271242. The cubic root of 1368831376 is about 1110.3246557312.

The spelling of 1368831376 in words is "one billion, three hundred sixty-eight million, eight hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 113 121 176 226 242 452 484 904 968 1243 1808 1936 2486 4972 6257 9944 12514 13673 19888 25028 27346 50056 54692 68827 100112 109384 137654 218768 275308 550616 707041 757097 1101232 1414082 1514194 2828164 3028388 5656328 6056776 7777451 11312656 12113552 15554902 31109804 62219608 85551961 124439216 171103922 342207844 684415688 1368831376