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2140288160 = 25529461269
BaseRepresentation
bin111111110010010…
…0011010010100000
312112011022220101212
41333210203102200
513340403210120
6552213445252
7104016102113
oct17744432240
95464286355
102140288160
119a915619a
124b8940828
132815558ca
1416437657a
15c7d746c5
hex7f9234a0

2140288160 has 48 divisors (see below), whose sum is σ = 5230801800. Its totient is φ = 826592256.

The previous prime is 2140288147. The next prime is 2140288181. The reversal of 2140288160 is 618820412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1995230224 + 145057936 = 44668^2 + 12044^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225995 + ... + 235274.

Almost surely, 22140288160 is an apocalyptic number.

2140288160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140288160 is an abundant number, since it is smaller than the sum of its proper divisors (3090513640).

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

2140288160 is a wasteful number, since it uses less digits than its factorization.

2140288160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461313 (or 461305 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 2140288160 is about 46263.2484808406. The cubic root of 2140288160 is about 1288.7165810525.

The spelling of 2140288160 in words is "two billion, one hundred forty million, two hundred eighty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 461269 922538 1845076 2306345 3690152 4612690 7380304 9225380 13376801 14760608 18450760 26753602 36901520 53507204 66884005 73803040 107014408 133768010 214028816 267536020 428057632 535072040 1070144080 2140288160