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704285920 = 255131971251
BaseRepresentation
bin101001111110101…
…000110011100000
31211002020102122201
4221332220303200
52420244122140
6153515142544
723311221502
oct5176506340
91732212581
10704285920
11331607488
12177a44a54
13b2bb0140
1469771d72
1541c6c49a
hex29fa8ce0

704285920 has 192 divisors, whose sum is σ = 1920360960. Its totient is φ = 241920000.

The previous prime is 704285903. The next prime is 704285957. The reversal of 704285920 is 29582407.

704285920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7042859202 = 992037314220492800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 704285920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2805795 + ... + 2806045.

It is an arithmetic number, because the mean of its divisors is an integer number (10001880).

Almost surely, 2704285920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960180480).

704285920 is an abundant number, since it is smaller than the sum of its proper divisors (1216075040).

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

704285920 is a wasteful number, since it uses less digits than its factorization.

704285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 704285920 is about 26538.3857836154. The cubic root of 704285920 is about 889.7124518191.

The spelling of 704285920 in words is "seven hundred four million, two hundred eighty-five thousand, nine hundred twenty".