Search a number
-
+
412417560 = 23353436813
BaseRepresentation
bin11000100101001…
…111111000011000
31001202000222112110
4120211033320120
51321034330220
6104531312320
713135330362
oct3045177030
91052028473
10412417560
111a1887465
12b614b6a0
136759b679
143cab7d32
1526317be0
hex1894fe18

412417560 has 32 divisors (see below), whose sum is σ = 1237253040. Its totient is φ = 109977984.

The previous prime is 412417559. The next prime is 412417571. The reversal of 412417560 is 65714214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718287 + ... + 1718526.

Almost surely, 2412417560 is an apocalyptic number.

412417560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412417560 is an abundant number, since it is smaller than the sum of its proper divisors (824835480).

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

412417560 is a wasteful number, since it uses less digits than its factorization.

412417560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436827 (or 3436823 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 412417560 is about 20308.0663776737. The cubic root of 412417560 is about 744.3531824134.

The spelling of 412417560 in words is "four hundred twelve million, four hundred seventeen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3436813 6873626 10310439 13747252 17184065 20620878 27494504 34368130 41241756 51552195 68736260 82483512 103104390 137472520 206208780 412417560