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20320920360 = 23345133179197
BaseRepresentation
bin10010111011001110…
…001010001100101000
31221110012101201020000
4102323032022030220
5313104123422420
613200231503000
71316366654526
oct227316121450
957405351200
1020320920360
1186886a2264
123b31527a60
131bbb01ba40
14daab83316
157de00d690
hex4bb38a328

20320920360 has 640 divisors, whose sum is σ = 77278924800. Its totient is φ = 4755179520.

The previous prime is 20320920359. The next prime is 20320920377. The reversal of 20320920360 is 6302902302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103151782 + ... + 103151978.

It is an arithmetic number, because the mean of its divisors is an integer number (120748320).

Almost surely, 220320920360 is an apocalyptic number.

20320920360 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 20320920360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38639462400).

20320920360 is an abundant number, since it is smaller than the sum of its proper divisors (56958004440).

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

20320920360 is a wasteful number, since it uses less digits than its factorization.

20320920360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 20320920360 in words is "twenty billion, three hundred twenty million, nine hundred twenty thousand, three hundred sixty".