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870397920 = 253357107269
BaseRepresentation
bin110011111000010…
…011011111100000
32020122210210111000
4303320103133200
53240310213140
6222211352000
730366155160
oct6370233740
92218723430
10870397920
11407353927
122035b2600
1310b430872
14838525a0
1551630a30
hex33e137e0

870397920 has 384 divisors, whose sum is σ = 3527193600. Its totient is φ = 196356096.

The previous prime is 870397919. The next prime is 870397933. The reversal of 870397920 is 29793078.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3235546 + ... + 3235814.

It is an arithmetic number, because the mean of its divisors is an integer number (9185400).

Almost surely, 2870397920 is an apocalyptic number.

870397920 is a gapful number since it is divisible by the number (80) 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 870397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763596800).

870397920 is an abundant number, since it is smaller than the sum of its proper divisors (2656795680).

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

870397920 is a wasteful number, since it uses less digits than its factorization.

870397920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 870397920 is about 29502.5070121168. The cubic root of 870397920 is about 954.7857929882.

The spelling of 870397920 in words is "eight hundred seventy million, three hundred ninety-seven thousand, nine hundred twenty".