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2404113140 = 225111317197251
BaseRepresentation
bin1000111101001011…
…1101101011110100
320012112202121020102
42033102331223310
514410423110030
61034320253232
7113401424132
oct21722755364
96175677212
102404113140
111024071870
12571171218
132c40c8b70
1418b410752
15e10d9c45
hex8f4bdaf4

2404113140 has 192 divisors, whose sum is σ = 6337191168. Its totient is φ = 752640000.

The previous prime is 2404113119. The next prime is 2404113167. The reversal of 2404113140 is 413114042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9578015 + ... + 9578265.

It is an arithmetic number, because the mean of its divisors is an integer number (33006204).

Almost surely, 22404113140 is an apocalyptic number.

2404113140 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 2404113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168595584).

2404113140 is an abundant number, since it is smaller than the sum of its proper divisors (3933078028).

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

2404113140 is a wasteful number, since it uses less digits than its factorization.

2404113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2404113140 is about 49031.7564441659. The cubic root of 2404113140 is about 1339.6303168216.

Adding to 2404113140 its reverse (413114042), we get a palindrome (2817227182).

The spelling of 2404113140 in words is "two billion, four hundred four million, one hundred thirteen thousand, one hundred forty".