Search a number
-
+
10412720 = 245731783
BaseRepresentation
bin100111101110…
…001010110000
3201121000120022
4213232022300
510131201340
61011103012
7154335533
oct47561260
921530508
1010412720
11597225a
1235a1a68
132207696
141550a1a
15daa3b5
hex9ee2b0

10412720 has 40 divisors (see below), whose sum is σ = 24554976. Its totient is φ = 4105728.

The previous prime is 10412719. The next prime is 10412737. The reversal of 10412720 is 2721401.

10412720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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, 4949 + ... + 6731.

Almost surely, 210412720 is an apocalyptic number.

10412720 is a gapful number since it is divisible by the number (10) 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 10412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277488).

10412720 is an abundant number, since it is smaller than the sum of its proper divisors (14142256).

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

10412720 is a wasteful number, since it uses less digits than its factorization.

10412720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 10412720 is about 3226.8746489444. The cubic root of 10412720 is about 218.3675308527.

The spelling of 10412720 in words is "ten million, four hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 1783 2920 3566 5840 7132 8915 14264 17830 28528 35660 71320 130159 142640 260318 520636 650795 1041272 1301590 2082544 2603180 5206360 10412720