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1375875072 = 21234111329
BaseRepresentation
bin101001000000010…
…0011000000000000
310112212221200210000
41102000203000000
510304211000242
6344305440000
746044513405
oct12200430000
93485850700
101375875072
11646711340
12324940000
1318c082980
14d0a322ac
1580bcba4c
hex52023000

1375875072 has 520 divisors, whose sum is σ = 4995199440. Its totient is φ = 371589120.

The previous prime is 1375875049. The next prime is 1375875073. The reversal of 1375875072 is 2705785731.

1375875072 is a `hidden beast` number, since 13 + 7 + 587 + 50 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1375875073) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47443954 + ... + 47443982.

Almost surely, 21375875072 is an apocalyptic number.

1375875072 is a gapful number since it is divisible by the number (12) 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 1375875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497599720).

1375875072 is an abundant number, since it is smaller than the sum of its proper divisors (3619324368).

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

1375875072 is a wasteful number, since it uses less digits than its factorization.

1375875072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 1375875072 is about 37092.7900271737. The cubic root of 1375875072 is about 1112.2258913452.

The spelling of 1375875072 in words is "one billion, three hundred seventy-five million, eight hundred seventy-five thousand, seventy-two".