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2372029920 = 25355132192
BaseRepresentation
bin1000110101100010…
…0100110111100000
320010022101121100000
42031120210313200
514324214424140
61031212500000
7112531631061
oct21530446740
96108347300
102372029920
111007a49207
1256247a600
132ba574900
1418705c568
15dd39da30
hex8d624de0

2372029920 has 648 divisors, whose sum is σ = 9593327016. Its totient is φ = 553153536.

The previous prime is 2372029909. The next prime is 2372029963. The reversal of 2372029920 is 299202732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 124843671 + ... + 124843689.

It is an arithmetic number, because the mean of its divisors is an integer number (14804517).

Almost surely, 22372029920 is an apocalyptic number.

2372029920 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 2372029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796663508).

2372029920 is an abundant number, since it is smaller than the sum of its proper divisors (7221297096).

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

2372029920 is a wasteful number, since it uses less digits than its factorization.

2372029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2372029920 is about 48703.4898133594. The cubic root of 2372029920 is about 1333.6444262991.

The spelling of 2372029920 in words is "two billion, three hundred seventy-two million, twenty-nine thousand, nine hundred twenty".