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2089234560 = 27357253419
BaseRepresentation
bin111110010000111…
…0011000010000000
312101121021010000210
41330201303002000
513234321001220
6543151314120
7102526125600
oct17441630200
95347233023
102089234560
11982355936
124a381b940
13273abba8a
1415b686c00
15c363c6e0
hex7c873080

2089234560 has 384 divisors, whose sum is σ = 7911691200. Its totient is φ = 467410944.

The previous prime is 2089234549. The next prime is 2089234579. The reversal of 2089234560 is 654329802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 4986031 + ... + 4986449.

Almost surely, 22089234560 is an apocalyptic number.

2089234560 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 2089234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955845600).

2089234560 is an abundant number, since it is smaller than the sum of its proper divisors (5822456640).

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

2089234560 is a wasteful number, since it uses less digits than its factorization.

2089234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2089234560 is about 45708.1454447673. The cubic root of 2089234560 is about 1278.3871613365.

The spelling of 2089234560 in words is "two billion, eighty-nine million, two hundred thirty-four thousand, five hundred sixty".