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1375105296 = 243293726699
BaseRepresentation
bin101000111110110…
…0111000100010000
310112211111120211210
41101331213010100
510304011332141
6344241140120
746035126225
oct12175470420
93484446753
101375105296
11646235a64
1232462a640
1318bb73496
14d08b194c
1580ac8916
hex51f67110

1375105296 has 80 divisors (see below), whose sum is σ = 3774312000. Its totient is φ = 430585344.

The previous prime is 1375105289. The next prime is 1375105321. The reversal of 1375105296 is 6925015731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38155 + ... + 64853.

It is an arithmetic number, because the mean of its divisors is an integer number (47178900).

Almost surely, 21375105296 is an apocalyptic number.

1375105296 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 1375105296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887156000).

1375105296 is an abundant number, since it is smaller than the sum of its proper divisors (2399206704).

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

1375105296 is a wasteful number, since it uses less digits than its factorization.

1375105296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26776 (or 26770 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 1375105296 is about 37082.4122192718. The cubic root of 1375105296 is about 1112.0184295550.

The spelling of 1375105296 in words is "one billion, three hundred seventy-five million, one hundred five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 296 348 444 464 592 696 888 1073 1392 1776 2146 3219 4292 6438 8584 12876 17168 25752 26699 51504 53398 80097 106796 160194 213592 320388 427184 640776 774271 987863 1281552 1548542 1975726 2322813 2963589 3097084 3951452 4645626 5927178 6194168 7902904 9291252 11854356 12388336 15805808 18582504 23708712 28648027 37165008 47417424 57296054 85944081 114592108 171888162 229184216 343776324 458368432 687552648 1375105296