Search a number
-
+
412523320 = 235115411733
BaseRepresentation
bin11000100101101…
…001101100111000
31001202020100121111
4120211221230320
51321101221240
6104533450104
713136250616
oct3045515470
91052210544
10412523320
111a1949970
12b61a0934
1367607851
143cb046b6
15263391ea
hex18969b38

412523320 has 64 divisors (see below), whose sum is σ = 1015014240. Its totient is φ = 149644800.

The previous prime is 412523317. The next prime is 412523329. The reversal of 412523320 is 23325214.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 412523291 and 412523300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412523329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237174 + ... + 238906.

Almost surely, 2412523320 is an apocalyptic number.

412523320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507507120).

412523320 is an abundant number, since it is smaller than the sum of its proper divisors (602490920).

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

412523320 is a wasteful number, since it uses less digits than its factorization.

412523320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 412523320 is about 20310.6701021901. The cubic root of 412523320 is about 744.4168040693.

Adding to 412523320 its reverse (23325214), we get a palindrome (435848534).

The spelling of 412523320 in words is "four hundred twelve million, five hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 541 1082 1733 2164 2705 3466 4328 5410 5951 6932 8665 10820 11902 13864 17330 19063 21640 23804 29755 34660 38126 47608 59510 69320 76252 95315 119020 152504 190630 238040 381260 762520 937553 1875106 3750212 4687765 7500424 9375530 10313083 18751060 20626166 37502120 41252332 51565415 82504664 103130830 206261660 412523320