Search a number
-
+
613420668 = 223371276389
BaseRepresentation
bin100100100100000…
…000111001111100
31120202020222222000
4210210000321330
52224013430133
6140511422300
721125663310
oct4444007174
91522228860
10613420668
11295295033
12151524990
139a117413
145b67bb40
1538cbe413
hex24900e7c

613420668 has 96 divisors (see below), whose sum is σ = 1832140800. Its totient is φ = 173855808.

The previous prime is 613420631. The next prime is 613420733. The reversal of 613420668 is 866024316.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92818 + ... + 99206.

It is an arithmetic number, because the mean of its divisors is an integer number (19084800).

Almost surely, 2613420668 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 613420668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916070400).

613420668 is an abundant number, since it is smaller than the sum of its proper divisors (1218720132).

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

613420668 is a wasteful number, since it uses less digits than its factorization.

613420668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 613420668 is about 24767.3306595604. The cubic root of 613420668 is about 849.6749243669.

The spelling of 613420668 in words is "six hundred thirteen million, four hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 127 189 252 254 378 381 508 756 762 889 1143 1524 1778 2286 2667 3429 3556 4572 5334 6389 6858 8001 10668 12778 13716 16002 19167 24003 25556 32004 38334 44723 48006 57501 76668 89446 96012 115002 134169 172503 178892 230004 268338 345006 402507 536676 690012 805014 811403 1207521 1610028 1622806 2415042 2434209 3245612 4830084 4868418 5679821 7302627 9736836 11359642 14605254 17039463 21907881 22719284 29210508 34078926 43815762 51118389 68157852 87631524 102236778 153355167 204473556 306710334 613420668