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612680 = 23517253
BaseRepresentation
bin10010101100101001000
31011010102212
42111211020
5124101210
621044252
75131145
oct2254510
91133385
10612680
11389352
12256688
13185b43
1411d3cc
15c1805
hex95948

612680 has 48 divisors (see below), whose sum is σ = 1492020. Its totient is φ = 226304.

The previous prime is 612679. The next prime is 612713. The reversal of 612680 is 86216.

Added to its reverse (86216) it gives a square (698896 = 8362).

It can be written as a sum of positive squares in 6 ways, for example, as 498436 + 114244 = 706^2 + 338^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11534 + ... + 11586.

2612680 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 612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746010).

612680 is an abundant number, since it is smaller than the sum of its proper divisors (879340).

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

612680 is a wasteful number, since it uses less digits than its factorization.

612680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 612680 is about 782.7387814591. The cubic root of 612680 is about 84.9332809773.

Adding to 612680 its reverse (86216), we get a palindrome (698896).

The spelling of 612680 in words is "six hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 289 340 424 530 578 680 901 1060 1156 1445 1802 2120 2312 2890 3604 4505 5780 7208 9010 11560 15317 18020 30634 36040 61268 76585 122536 153170 306340 612680