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4372000920 = 233457434483
BaseRepresentation
bin1000001001001011…
…10111000010011000
3102021200200122210000
410010211313002120
532423213012140
62001455053000
7213225252240
oct40445670230
912250618700
104372000920
111943976001
12a20211160
13548a0b9c1
142d690ab20
151a8c57a30
hex104977098

4372000920 has 320 divisors, whose sum is σ = 17188427520. Its totient is φ = 975856896.

The previous prime is 4372000889. The next prime is 4372000951. The reversal of 4372000920 is 290002734.

4372000920 is a `hidden beast` number, since 437 + 200 + 0 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4372000889) and next prime (4372000951).

It is a super-2 number, since 2×43720009202 = 38228784088961692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 972999 + ... + 977481.

It is an arithmetic number, because the mean of its divisors is an integer number (53713836).

Almost surely, 24372000920 is an apocalyptic number.

4372000920 is a gapful number since it is divisible by the number (40) 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 4372000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8594213760).

4372000920 is an abundant number, since it is smaller than the sum of its proper divisors (12816426600).

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

4372000920 is a wasteful number, since it uses less digits than its factorization.

4372000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4372000920 is about 66121.1079761977. The cubic root of 4372000920 is about 1635.1593481592.

The spelling of 4372000920 in words is "four billion, three hundred seventy-two million, nine hundred twenty", and thus it is an aban number.