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240768420 = 223540110007
BaseRepresentation
bin11100101100111…
…01010110100100
3121210001022011220
432112131112210
5443114042140
635520300340
75652332514
oct1626352644
9553038156
10240768420
111139a8972
12687716b0
133ab5c829
1423d95844
151620dbd0
hexe59d5a4

240768420 has 48 divisors (see below), whose sum is σ = 675900288. Its totient is φ = 64038400.

The previous prime is 240768419. The next prime is 240768457. The reversal of 240768420 is 24867042.

240768420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19057 + ... + 29063.

It is an arithmetic number, because the mean of its divisors is an integer number (14081256).

Almost surely, 2240768420 is an apocalyptic number.

240768420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240768420 is an abundant number, since it is smaller than the sum of its proper divisors (435131868).

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

240768420 is a wasteful number, since it uses less digits than its factorization.

240768420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 240768420 is about 15516.7142140338. The cubic root of 240768420 is about 622.1090333840.

The spelling of 240768420 in words is "two hundred forty million, seven hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 401 802 1203 1604 2005 2406 4010 4812 6015 8020 10007 12030 20014 24060 30021 40028 50035 60042 100070 120084 150105 200140 300210 600420 4012807 8025614 12038421 16051228 20064035 24076842 40128070 48153684 60192105 80256140 120384210 240768420