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610412868 = 2233134091063
BaseRepresentation
bin100100011000100…
…010100101000100
31120112121012001000
4210120202211010
52222231202433
6140323133300
721061265232
oct4430424504
91515535030
10610412868
1129362024a
12150514230
1399603360
145b0d7952
15388c8113
hex24622944

610412868 has 96 divisors (see below), whose sum is σ = 1710060800. Its totient is φ = 187183872.

The previous prime is 610412839. The next prime is 610412899. The reversal of 610412868 is 868214016.

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

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, 573705 + ... + 574767.

Almost surely, 2610412868 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 610412868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855030400).

610412868 is an abundant number, since it is smaller than the sum of its proper divisors (1099647932).

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

610412868 is a wasteful number, since it uses less digits than its factorization.

610412868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 610412868 is about 24706.5349249950. The cubic root of 610412868 is about 848.2839046582.

The spelling of 610412868 in words is "six hundred ten million, four hundred twelve thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 409 468 702 818 1063 1227 1404 1636 2126 2454 3189 3681 4252 4908 5317 6378 7362 9567 10634 11043 12756 13819 14724 15951 19134 21268 22086 27638 28701 31902 38268 41457 44172 47853 55276 57402 63804 82914 95706 114804 124371 143559 165828 191412 248742 287118 373113 434767 497484 574236 746226 869534 1304301 1492452 1739068 2608602 3912903 5217204 5651971 7825806 11303942 11738709 15651612 16955913 22607884 23477418 33911826 46954836 50867739 67823652 101735478 152603217 203470956 305206434 610412868