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684542540 = 2251117917383
BaseRepresentation
bin101000110011010…
…100101001001100
31202201002100211102
4220303110221030
52400220330130
6151532042232
722651341563
oct5063245114
91681070742
10684542540
11321451a40
12171303378
13aba89776
1466cb2bda
154016c645
hex28cd4a4c

684542540 has 48 divisors (see below), whose sum is σ = 1577076480. Its totient is φ = 247519680.

The previous prime is 684542533. The next prime is 684542627. The reversal of 684542540 is 45245486.

It is a junction number, because it is equal to n+sod(n) for n = 684542494 and 684542503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30689 + ... + 48071.

It is an arithmetic number, because the mean of its divisors is an integer number (32855760).

Almost surely, 2684542540 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 684542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788538240).

684542540 is an abundant number, since it is smaller than the sum of its proper divisors (892533940).

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

684542540 is a wasteful number, since it uses less digits than its factorization.

684542540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17582 (or 17580 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The square root of 684542540 is about 26163.7638729599. The cubic root of 684542540 is about 881.3197055001.

The spelling of 684542540 in words is "six hundred eighty-four million, five hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7876 9845 17383 19690 34766 39380 69532 86915 173830 191213 347660 382426 764852 956065 1912130 3111557 3824260 6223114 12446228 15557785 31115570 34227127 62231140 68454254 136908508 171135635 342271270 684542540