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684099045 = 325725572
BaseRepresentation
bin101000110001101…
…000010111100101
31202200020211110200
4220301220113211
52400112132140
6151514341113
722644513600
oct5061502745
91680224420
10684099045
11321179813
1217112a799
13ab962946
1466bd9337
15400d1030
hex28c685e5

684099045 has 54 divisors (see below), whose sum is σ = 1381847922. Its totient is φ = 312169536.

The previous prime is 684098969. The next prime is 684099061. The reversal of 684099045 is 540990486.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17994564 + 666104481 = 4242^2 + 25809^2 .

It is not a de Polignac number, because 684099045 - 214 = 684082661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1227907 + ... + 1228463.

Almost surely, 2684099045 is an apocalyptic number.

It is an amenable number.

684099045 is an abundant number, since it is smaller than the sum of its proper divisors (697748877).

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

684099045 is an equidigital number, since it uses as much as digits as its factorization.

684099045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 684099045 is about 26155.2871328150. The cubic root of 684099045 is about 881.1293373348.

Multiplying 684099045 by its sum of digits (45), we get a square (30784457025 = 1754552).

684099045 divided by its sum of digits (45) gives a square (15202201 = 38992).

The spelling of 684099045 in words is "six hundred eighty-four million, ninety-nine thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 557 735 1671 2205 2785 3899 5013 8355 11697 19495 25065 27293 35091 58485 81879 136465 175455 245637 310249 409395 930747 1228185 1551245 2171743 2792241 4653735 6515229 10858715 13961205 15202201 19545687 32576145 45606603 76011005 97728435 136819809 228033015 684099045