Search a number
-
+
412413030 = 2325171032617
BaseRepresentation
bin11000100101001…
…110110001100110
31001202000202022200
4120211032301212
51321034204110
6104531235330
713135311231
oct3045166146
91052022280
10412413030
111a1884017
12b6148b46
13675995a3
143cab6418
15263166c0
hex1894ec66

412413030 has 96 divisors (see below), whose sum is σ = 1146809664. Its totient is φ = 102463488.

The previous prime is 412413017. The next prime is 412413041. The reversal of 412413030 is 30314214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 412412994 and 412413012.

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, 156282 + ... + 158898.

It is an arithmetic number, because the mean of its divisors is an integer number (11945934).

Almost surely, 2412413030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412413030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573404832).

412413030 is an abundant number, since it is smaller than the sum of its proper divisors (734396634).

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

412413030 is a wasteful number, since it uses less digits than its factorization.

412413030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412413030 is about 20307.9548453309. The cubic root of 412413030 is about 744.3504570750.

Adding to 412413030 its reverse (30314214), we get a palindrome (442727244).

The spelling of 412413030 in words is "four hundred twelve million, four hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 103 153 170 206 255 306 309 510 515 618 765 927 1030 1530 1545 1751 1854 2617 3090 3502 4635 5234 5253 7851 8755 9270 10506 13085 15702 15759 17510 23553 26170 26265 31518 39255 44489 47106 52530 78510 78795 88978 117765 133467 157590 222445 235530 266934 269551 400401 444890 539102 667335 800802 808653 1334670 1347755 1617306 2002005 2425959 2695510 4004010 4043265 4582367 4851918 8086530 9164734 12129795 13747101 22911835 24259590 27494202 41241303 45823670 68735505 82482606 137471010 206206515 412413030