Search a number
-
+
10245120960 = 263510672001
BaseRepresentation
bin10011000101010100…
…00010001111000000
3222110000000001212110
421202222002033000
5131440222332320
64412340255320
7511612043214
oct114252021700
928400001773
1010245120960
114388116018
121b9b0a1540
13c73712169
146d292c944
153ee67b5e0
hex262a823c0

10245120960 has 56 divisors (see below), whose sum is σ = 32528262096. Its totient is φ = 2732032000.

The previous prime is 10245120953. The next prime is 10245121093. The reversal of 10245120960 is 6902154201.

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, 5335041 + ... + 5336960.

Almost surely, 210245120960 is an apocalyptic number.

10245120960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10245120960 is an abundant number, since it is smaller than the sum of its proper divisors (22283141136).

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

10245120960 is a wasteful number, since it uses less digits than its factorization.

10245120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672021 (or 10672011 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10245120960 in words is "ten billion, two hundred forty-five million, one hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10672001 21344002 32016003 42688004 53360005 64032006 85376008 106720010 128064012 160080015 170752016 213440020 256128024 320160030 341504032 426880040 512256048 640320060 683008064 853760080 1024512096 1280640120 1707520160 2049024192 2561280240 3415040320 5122560480 10245120960