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627087340 = 22511323557
BaseRepresentation
bin100101011000001…
…001011111101100
31121200222100010001
4211120021133230
52241013243330
6142120354044
721353103655
oct4530113754
91550870101
10627087340
112a1a7a000
12156015924
139cbc0bc9
145d3d852c
153a0bd9ca
hex256097ec

627087340 has 48 divisors (see below), whose sum is σ = 1448534304. Its totient is φ = 228022080.

The previous prime is 627087323. The next prime is 627087367. The reversal of 627087340 is 43780726.

627087340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 627087340.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14842 + ... + 38398.

It is an arithmetic number, because the mean of its divisors is an integer number (30177798).

Almost surely, 2627087340 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 627087340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724267152).

627087340 is an abundant number, since it is smaller than the sum of its proper divisors (821446964).

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

627087340 is a wasteful number, since it uses less digits than its factorization.

627087340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23599 (or 23575 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 627087340 is about 25041.7120021775. The cubic root of 627087340 is about 855.9387293467.

The spelling of 627087340 in words is "six hundred twenty-seven million, eighty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 13310 23557 26620 47114 94228 117785 235570 259127 471140 518254 1036508 1295635 2591270 2850397 5182540 5700794 11401588 14251985 28503970 31354367 57007940 62708734 125417468 156771835 313543670 627087340