Search a number
-
+
412405720 = 235175311443
BaseRepresentation
bin11000100101001…
…100111111011000
31001202000101021221
4120211030333120
51321033440340
6104531141424
713135251016
oct3045147730
91052011257
10412405720
111a1879581
12b6144874
136759616c
143cab38b6
152631444a
hex1894cfd8

412405720 has 64 divisors (see below), whose sum is σ = 1001121120. Its totient is φ = 152315904.

The previous prime is 412405711. The next prime is 412405729. The reversal of 412405720 is 27504214.

It is an interprime number because it is at equal distance from previous prime (412405711) and next prime (412405729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412405729) 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, 30319 + ... + 41761.

Almost surely, 2412405720 is an apocalyptic number.

412405720 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 412405720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500560560).

412405720 is an abundant number, since it is smaller than the sum of its proper divisors (588715400).

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

412405720 is a wasteful number, since it uses less digits than its factorization.

412405720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11520 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 412405720 is about 20307.7748657996. The cubic root of 412405720 is about 744.3460591910.

Adding to 412405720 its reverse (27504214), we get a palindrome (439909934).

The spelling of 412405720 in words is "four hundred twelve million, four hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 3604 4505 7208 9010 11443 18020 22886 36040 45772 57215 91544 114430 194531 228860 389062 457720 606479 778124 972655 1212958 1556248 1945310 2425916 3032395 3890620 4851832 6064790 7781240 10310143 12129580 20620286 24259160 41240572 51550715 82481144 103101430 206202860 412405720