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9070004160 = 26355719877
BaseRepresentation
bin10000111001001110…
…10100011111000000
3212102002210221200000
420130213110133000
5122033410113120
64100001400000
7440522522550
oct103447243700
925362727600
109070004160
113934865408
121911639000
13b17120989
14620839160
15381408990
hex21c9d47c0

9070004160 has 672 divisors, whose sum is σ = 38964656640. Its totient is φ = 1961791488.

The previous prime is 9070004143. The next prime is 9070004189. The reversal of 9070004160 is 614000709.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10341642 + ... + 10342518.

It is an arithmetic number, because the mean of its divisors is an integer number (57983120).

Almost surely, 29070004160 is an apocalyptic number.

9070004160 is a gapful number since it is divisible by the number (90) 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 9070004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19482328320).

9070004160 is an abundant number, since it is smaller than the sum of its proper divisors (29894652480).

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

9070004160 is a wasteful number, since it uses less digits than its factorization.

9070004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9070004160 is about 95236.5694468254. The cubic root of 9070004160 is about 2085.4630305421.

Adding to 9070004160 its reverse (614000709), we get a palindrome (9684004869).

The spelling of 9070004160 in words is "nine billion, seventy million, four thousand, one hundred sixty".