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720628480 = 285111331127
BaseRepresentation
bin101010111100111…
…110101100000000
31212012222201102201
4222330332230000
52433440102410
6155301322544
723600145445
oct5274765400
91765881381
10720628480
1133a859930
12181406454
13b63b28b0
146b9c79cc
15433e983a
hex2af3eb00

720628480 has 288 divisors, whose sum is σ = 2109800448. Its totient is φ = 232243200.

The previous prime is 720628451. The next prime is 720628481. The reversal of 720628480 is 84826027.

720628480 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 2×7206284802 = 1038610812374220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (720628481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5674177 + ... + 5674303.

It is an arithmetic number, because the mean of its divisors is an integer number (7325696).

Almost surely, 2720628480 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 720628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054900224).

720628480 is an abundant number, since it is smaller than the sum of its proper divisors (1389171968).

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

720628480 is a wasteful number, since it uses less digits than its factorization.

720628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 720628480 is about 26844.5242088587. The cubic root of 720628480 is about 896.5416580302.

The spelling of 720628480 in words is "seven hundred twenty million, six hundred twenty-eight thousand, four hundred eighty".