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413056530 = 233537173239
BaseRepresentation
bin11000100111101…
…011111000010010
31001210020110001000
4120213223320102
51321220302110
6104553122430
713143631305
oct3047537022
91053213030
10413056530
111a2183537
12b63b9416
1367763463
143cc02b3c
15263e21c0
hex189ebe12

413056530 has 128 divisors (see below), whose sum is σ = 1142553600. Its totient is φ = 106106112.

The previous prime is 413056529. The next prime is 413056537. The reversal of 413056530 is 35650314.

413056530 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 5 + 653 + 0 = 666.

413056530 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 413056494 and 413056503.

It is not an unprimeable number, because it can be changed into a prime (413056537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1728151 + ... + 1728389.

It is an arithmetic number, because the mean of its divisors is an integer number (8926200).

Almost surely, 2413056530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413056530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571276800).

413056530 is an abundant number, since it is smaller than the sum of its proper divisors (729497070).

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

413056530 is a wasteful number, since it uses less digits than its factorization.

413056530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 413056530 is about 20323.7922150370. The cubic root of 413056530 is about 744.7373997538.

The spelling of 413056530 in words is "four hundred thirteen million, fifty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 173 185 222 239 270 333 346 370 478 519 555 666 717 865 999 1038 1110 1195 1434 1557 1665 1730 1998 2151 2390 2595 3114 3330 3585 4302 4671 4995 5190 6401 6453 7170 7785 8843 9342 9990 10755 12802 12906 15570 17686 19203 21510 23355 26529 32005 32265 38406 41347 44215 46710 53058 57609 64010 64530 79587 82694 88430 96015 115218 124041 132645 159174 172827 192030 206735 238761 248082 265290 288045 345654 372123 397935 413470 477522 576090 620205 744246 795870 864135 1116369 1193805 1240410 1529839 1728270 1860615 2232738 2387610 3059678 3721230 4589517 5581845 7649195 9179034 11163690 13768551 15298390 22947585 27537102 41305653 45895170 68842755 82611306 137685510 206528265 413056530