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412163040 = 2535858673
BaseRepresentation
bin11000100100010…
…001101111100000
31001201120001101210
4120210101233200
51321003204130
6104522030120
713133220342
oct3044215740
91051501353
10412163040
111a1723213
12b6048340
136750c873
143ca4d292
15262b75b0
hex18911be0

412163040 has 48 divisors (see below), whose sum is σ = 1298315088. Its totient is φ = 109910016.

The previous prime is 412163039. The next prime is 412163047. The reversal of 412163040 is 40361214.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 412162998 and 412163016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412163047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428857 + ... + 429816.

It is an arithmetic number, because the mean of its divisors is an integer number (27048231).

Almost surely, 2412163040 is an apocalyptic number.

412163040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412163040 is an abundant number, since it is smaller than the sum of its proper divisors (886152048).

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

412163040 is a wasteful number, since it uses less digits than its factorization.

412163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858691 (or 858683 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 412163040 is about 20301.7989350698. The cubic root of 412163040 is about 744.2000271514.

It can be divided in two parts, 4121 and 63040, that added together give a triangular number (67161 = T366).

The spelling of 412163040 in words is "four hundred twelve million, one hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 858673 1717346 2576019 3434692 4293365 5152038 6869384 8586730 10304076 12880095 13738768 17173460 20608152 25760190 27477536 34346920 41216304 51520380 68693840 82432608 103040760 137387680 206081520 412163040