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628080 = 24352617
BaseRepresentation
bin10011001010101110000
31011220120020
42121111300
5130044310
621243440
75224065
oct2312560
91156506
10628080
11399982
12263580
1318cb5b
14124c6c
15c6170
hex99570

628080 has 40 divisors (see below), whose sum is σ = 1947792. Its totient is φ = 167424.

The previous prime is 628063. The next prime is 628093. The reversal of 628080 is 80826.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 628080.

It is a congruent number.

It is an unprimeable number.

628080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 1548.

2628080 is an apocalyptic number.

628080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628080 is an abundant number, since it is smaller than the sum of its proper divisors (1319712).

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

628080 is a wasteful number, since it uses less digits than its factorization.

628080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 628080 is about 792.5149840855. The cubic root of 628080 is about 85.6390132818.

The spelling of 628080 in words is "six hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2617 5234 7851 10468 13085 15702 20936 26170 31404 39255 41872 52340 62808 78510 104680 125616 157020 209360 314040 628080