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2140040160 = 253251486139
BaseRepresentation
bin111111110001110…
…0110101111100000
312112010212022012200
41333203212233200
513340322241120
6552204253200
7104014020066
oct17743465740
95463768180
102140040160
119a8aa6935
124b8841200
13281499a6b
14164310036
15c7d25e90
hex7f8e6be0

2140040160 has 72 divisors (see below), whose sum is σ = 7302891960. Its totient is φ = 570676992.

The previous prime is 2140040137. The next prime is 2140040173. The reversal of 2140040160 is 610400412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741630 + ... + 744509.

It is an arithmetic number, because the mean of its divisors is an integer number (101429055).

Almost surely, 22140040160 is an apocalyptic number.

2140040160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140040160 is an abundant number, since it is smaller than the sum of its proper divisors (5162851800).

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

2140040160 is a wasteful number, since it uses less digits than its factorization.

2140040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486160 (or 1486149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2140040160 is about 46260.5680898970. The cubic root of 2140040160 is about 1288.6668036342. Note that the first 3 decimals are identical.

Adding to 2140040160 its reverse (610400412), we get a palindrome (2750440572).

The spelling of 2140040160 in words is "two billion, one hundred forty million, forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1486139 2972278 4458417 5944556 7430695 8916834 11889112 13375251 14861390 17833668 22292085 23778224 26750502 29722780 35667336 44584170 47556448 53501004 59445560 66876255 71334672 89168340 107002008 118891120 133752510 142669344 178336680 214004016 237782240 267505020 356673360 428008032 535010040 713346720 1070020080 2140040160