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2406994920 = 23335112113163
BaseRepresentation
bin1000111101110111…
…1101001111101000
320012202012000022000
42033131331033220
514412142314140
61034502131000
7113435055621
oct21735751750
96182160260
102406994920
11102575aa00
12572120a60
132c4897765
1418b960a48
15e14a8a30
hex8f77d3e8

2406994920 has 384 divisors, whose sum is σ = 8951644800. Its totient is φ = 574801920.

The previous prime is 2406994903. The next prime is 2406994939. The reversal of 2406994920 is 294996042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14766759 + ... + 14766921.

It is an arithmetic number, because the mean of its divisors is an integer number (23311575).

Almost surely, 22406994920 is an apocalyptic number.

2406994920 is a gapful number since it is divisible by the number (20) 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 2406994920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475822400).

2406994920 is an abundant number, since it is smaller than the sum of its proper divisors (6544649880).

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

2406994920 is a wasteful number, since it uses less digits than its factorization.

2406994920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2406994920 is about 49061.1345160301. The cubic root of 2406994920 is about 1340.1653690616.

The spelling of 2406994920 in words is "two billion, four hundred six million, nine hundred ninety-four thousand, nine hundred twenty".