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415242630 = 232511607691
BaseRepresentation
bin11000110000000…
…001100110000110
31001221100111210200
4120300001212012
51322300231010
6105112031330
713201334625
oct3060014606
91057314720
10415242630
111a3436a30
12b7092546
136804a4ca
143d2116bc
15266c4cc0
hex18c01986

415242630 has 96 divisors (see below), whose sum is σ = 1181426688. Its totient is φ = 100353600.

The previous prime is 415242599. The next prime is 415242647. The reversal of 415242630 is 36242514.

415242630 is a `hidden beast` number, since 4 + 1 + 5 + 24 + 2 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 415242594 and 415242603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600585 + ... + 601275.

It is an arithmetic number, because the mean of its divisors is an integer number (12306528).

Almost surely, 2415242630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415242630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590713344).

415242630 is an abundant number, since it is smaller than the sum of its proper divisors (766184058).

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

415242630 is a wasteful number, since it uses less digits than its factorization.

415242630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 415242630 is about 20377.5030364370. The cubic root of 415242630 is about 746.0489285975.

The spelling of 415242630 in words is "four hundred fifteen million, two hundred forty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 607 691 990 1214 1382 1821 2073 3035 3455 3642 4146 5463 6070 6219 6677 6910 7601 9105 10365 10926 12438 13354 15202 18210 20031 20730 22803 27315 31095 33385 38005 40062 45606 54630 60093 62190 66770 68409 76010 100155 114015 120186 136818 200310 228030 300465 342045 419437 600930 684090 838874 1258311 2097185 2516622 3774933 4194370 4613807 6291555 7549866 9227614 12583110 13841421 18874665 23069035 27682842 37749330 41524263 46138070 69207105 83048526 138414210 207621315 415242630