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2400012020 = 225717142943
BaseRepresentation
bin1000111100001101…
…0100011011110100
320012021001020120002
42033003110123310
514403400341040
61034052330432
7113321523410
oct21703243364
96167036502
102400012020
11102182060a
1256b913a18
132c32c1273
1418aa63d40
15e0a79a15
hex8f0d46f4

2400012020 has 24 divisors (see below), whose sum is σ = 5760029184. Its totient is φ = 822861216.

The previous prime is 2400012011. The next prime is 2400012061. The reversal of 2400012020 is 202100042.

2400012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24000120202 = 11520115392288960800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400011992 and 2400012010.

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, 8571332 + ... + 8571611.

It is an arithmetic number, because the mean of its divisors is an integer number (240001216).

Almost surely, 22400012020 is an apocalyptic number.

2400012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400012020 is an abundant number, since it is smaller than the sum of its proper divisors (3360017164).

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

2400012020 is a wasteful number, since it uses less digits than its factorization.

2400012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17142959 (or 17142957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2400012020 is about 48989.9175341212. The cubic root of 2400012020 is about 1338.8681353228.

Adding to 2400012020 its reverse (202100042), we get a palindrome (2602112062).

The spelling of 2400012020 in words is "two billion, four hundred million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 17142943 34285886 68571772 85714715 120000601 171429430 240001202 342858860 480002404 600003005 1200006010 2400012020