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627240980 = 225317114249
BaseRepresentation
bin100101011000101…
…111000000010100
31121201021010212102
4211120233000110
52241033202410
6142123541232
721354313622
oct4530570024
91551233772
10627240980
112a2074483
1215608a818
139cc45b12
145d438512
153a0ee2a5
hex2562f014

627240980 has 48 divisors (see below), whose sum is σ = 1378944000. Its totient is φ = 239366400.

The previous prime is 627240953. The next prime is 627240989. The reversal of 627240980 is 89042726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627240989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36896 + ... + 51144.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2627240980 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 627240980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

627240980 is an abundant number, since it is smaller than the sum of its proper divisors (751703020).

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

627240980 is a wasteful number, since it uses less digits than its factorization.

627240980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14360 (or 14358 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 627240980 is about 25044.7794959349. The cubic root of 627240980 is about 856.0086269402.

The spelling of 627240980 in words is "six hundred twenty-seven million, two hundred forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 284 310 355 620 710 1420 2201 4402 8804 11005 14249 22010 28498 44020 56996 71245 142490 284980 441719 883438 1011679 1766876 2023358 2208595 4046716 4417190 5058395 8834380 10116790 20233580 31362049 62724098 125448196 156810245 313620490 627240980