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2032430880 = 253523227811
BaseRepresentation
bin111100100100100…
…0110111100100000
312020122101012000210
41321021012330200
513130300242010
6533402014120
7101236243314
oct17111067440
95218335023
102032430880
11953288447
124887a7340
132650c092c
14153cdbb44
15bd66bb20
hex79246f20

2032430880 has 192 divisors, whose sum is σ = 6718215168. Its totient is φ = 515496960.

The previous prime is 2032430849. The next prime is 2032430941. The reversal of 2032430880 is 880342302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2505675 + ... + 2506485.

It is an arithmetic number, because the mean of its divisors is an integer number (34990704).

Almost surely, 22032430880 is an apocalyptic number.

2032430880 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 2032430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359107584).

2032430880 is an abundant number, since it is smaller than the sum of its proper divisors (4685784288).

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

2032430880 is a wasteful number, since it uses less digits than its factorization.

2032430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2032430880 is about 45082.4897271657. The cubic root of 2032430880 is about 1266.6946266527.

The spelling of 2032430880 in words is "two billion, thirty-two million, four hundred thirty thousand, eight hundred eighty".