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412130500 = 22531018161
BaseRepresentation
bin11000100100001…
…001110011000100
31001201111101202121
4120210021303010
51321001134000
6104521215324
713133023435
oct3044116304
91051441677
10412130500
111a1700821
12b6031544
13674cab02
143ca4148c
15262acb1a
hex18909cc4

412130500 has 48 divisors (see below), whose sum is σ = 909116208. Its totient is φ = 163200000.

The previous prime is 412130497. The next prime is 412130503. The reversal of 412130500 is 5031214.

It is an interprime number because it is at equal distance from previous prime (412130497) and next prime (412130503).

It can be written as a sum of positive squares in 8 ways, for example, as 56280004 + 355850496 = 7502^2 + 18864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412130503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46420 + ... + 54580.

It is an arithmetic number, because the mean of its divisors is an integer number (18939921).

Almost surely, 2412130500 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 412130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454558104).

412130500 is an abundant number, since it is smaller than the sum of its proper divisors (496985708).

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

412130500 is a wasteful number, since it uses less digits than its factorization.

412130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 412130500 is about 20300.9975124377. The cubic root of 412130500 is about 744.1804419356.

Adding to 412130500 its reverse (5031214), we get a palindrome (417161714).

The spelling of 412130500 in words is "four hundred twelve million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 1010 2020 2525 5050 8161 10100 12625 16322 25250 32644 40805 50500 81610 163220 204025 408050 816100 824261 1020125 1648522 2040250 3297044 4080500 4121305 8242610 16485220 20606525 41213050 82426100 103032625 206065250 412130500