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2420313840 = 2432572312213
BaseRepresentation
bin1001000001000011…
…0000111011110000
320020200020200102100
42100100300323300
514424100020330
61040055420400
7113656220400
oct22020607360
96220220370
102420313840
11103222767a
12576684700
132c757bb89
1418d62a800
15e273a060
hex90430ef0

2420313840 has 360 divisors, whose sum is σ = 9764696448. Its totient is φ = 535127040.

The previous prime is 2420313839. The next prime is 2420313853. The reversal of 2420313840 is 483130242.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1092574 + ... + 1094786.

Almost surely, 22420313840 is an apocalyptic number.

2420313840 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 2420313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882348224).

2420313840 is an abundant number, since it is smaller than the sum of its proper divisors (7344382608).

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

2420313840 is a wasteful number, since it uses less digits than its factorization.

2420313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2420313840 is about 49196.6852541917. The cubic root of 2420313840 is about 1342.6327241001.

The spelling of 2420313840 in words is "two billion, four hundred twenty million, three hundred thirteen thousand, eight hundred forty".