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2023128576 = 2935723101
BaseRepresentation
bin111100010010110…
…0111111000000000
312012222212120200000
41320211213320000
513120410103301
6532430400000
7101064211020
oct17045477000
95188776600
102023128576
11949004497
12485660000
132631b4801
14152999a80
15bc930786
hex78967e00

2023128576 has 480 divisors, whose sum is σ = 7292533248. Its totient is φ = 547430400.

The previous prime is 2023128563. The next prime is 2023128581. The reversal of 2023128576 is 6758213202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2023128576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20030926 + ... + 20031026.

Almost surely, 22023128576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023128576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646266624).

2023128576 is an abundant number, since it is smaller than the sum of its proper divisors (5269404672).

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

2023128576 is an equidigital number, since it uses as much as digits as its factorization.

2023128576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2023128576 is about 44979.2015936255. The cubic root of 2023128576 is about 1264.7591444663.

The spelling of 2023128576 in words is "two billion, twenty-three million, one hundred twenty-eight thousand, five hundred seventy-six".