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2153606880 = 25354486681
BaseRepresentation
bin1000000001011101…
…0110111011100000
312120002101120020210
42000113112323200
513402310410010
6553411134120
7104240233155
oct20027267340
95502346223
102153606880
11a057227a7
125012a4340
13284239bc9
1416604222c
15c9105b20
hex805d6ee0

2153606880 has 48 divisors (see below), whose sum is σ = 6783863184. Its totient is φ = 574295040.

The previous prime is 2153606879. The next prime is 2153606887. The reversal of 2153606880 is 886063512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153606887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2242861 + ... + 2243820.

It is an arithmetic number, because the mean of its divisors is an integer number (141330483).

Almost surely, 22153606880 is an apocalyptic number.

2153606880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153606880 is an abundant number, since it is smaller than the sum of its proper divisors (4630256304).

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

2153606880 is a wasteful number, since it uses less digits than its factorization.

2153606880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486699 (or 4486691 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2153606880 is about 46406.9701661291. The cubic root of 2153606880 is about 1291.3842241315.

The spelling of 2153606880 in words is "two billion, one hundred fifty-three million, six hundred six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4486681 8973362 13460043 17946724 22433405 26920086 35893448 44866810 53840172 67300215 71786896 89733620 107680344 134600430 143573792 179467240 215360688 269200860 358934480 430721376 538401720 717868960 1076803440 2153606880