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2089380960 = 253351513203
BaseRepresentation
bin111110010001001…
…0110110001100000
312101121112112212000
41330202112301200
513234340142320
6543154404000
7102530305452
oct17442266140
95347475760
102089380960
11982445927
124a3890600
13273b405c4
1415b6c42d2
15c366ac90
hex7c896c60

2089380960 has 192 divisors, whose sum is σ = 7363560960. Its totient is φ = 553305600.

The previous prime is 2089380889. The next prime is 2089380989. The reversal of 2089380960 is 690839802.

2089380960 is a `hidden beast` number, since 208 + 9 + 380 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 650719 + ... + 653921.

It is an arithmetic number, because the mean of its divisors is an integer number (38351880).

Almost surely, 22089380960 is an apocalyptic number.

2089380960 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 2089380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681780480).

2089380960 is an abundant number, since it is smaller than the sum of its proper divisors (5274180000).

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

2089380960 is a wasteful number, since it uses less digits than its factorization.

2089380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2089380960 is about 45709.7468818194. The cubic root of 2089380960 is about 1278.4170209978.

The spelling of 2089380960 in words is "two billion, eighty-nine million, three hundred eighty thousand, nine hundred sixty".