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1375975920 = 24351117233143
BaseRepresentation
bin101001000000011…
…1011100111110000
310112220010211010010
41102000323213300
510304222212140
6344311534520
746045413414
oct12200734760
93486124103
101375975920
11646780090
1232498a440
1318c0b9847
14d0a5ad44
1580beb880
hex5203b9f0

1375975920 has 640 divisors, whose sum is σ = 5430509568. Its totient is φ = 283852800.

The previous prime is 1375975919. The next prime is 1375975921. The reversal of 1375975920 is 295795731.

It is an interprime number because it is at equal distance from previous prime (1375975919) and next prime (1375975921).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1375975920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375975921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31999419 + ... + 31999461.

Almost surely, 21375975920 is an apocalyptic number.

1375975920 is a gapful number since it is divisible by the number (10) 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 1375975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715254784).

1375975920 is an abundant number, since it is smaller than the sum of its proper divisors (4054533648).

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

1375975920 is a wasteful number, since it uses less digits than its factorization.

1375975920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 48.

The square root of 1375975920 is about 37094.1494039154. The cubic root of 1375975920 is about 1112.2530650857.

The spelling of 1375975920 in words is "one billion, three hundred seventy-five million, nine hundred seventy-five thousand, nine hundred twenty".