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2140040320 = 27511303983
BaseRepresentation
bin111111110001110…
…0110110010000000
312112010212022102121
41333203212302000
513340322242240
6552204254024
7104014020415
oct17743466200
95463768377
102140040320
119a8aa6a70
124b8841314
13281499b62
1416431010c
15c7d2604a
hex7f8e6c80

2140040320 has 64 divisors (see below), whose sum is σ = 5581146240. Its totient is φ = 778193920.

The previous prime is 2140040269. The next prime is 2140040327. The reversal of 2140040320 is 230400412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2140040294 and 2140040303.

It is not an unprimeable number, because it can be changed into a prime (2140040327) 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, 144952 + ... + 159031.

It is an arithmetic number, because the mean of its divisors is an integer number (87205410).

Almost surely, 22140040320 is an apocalyptic number.

2140040320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140040320 is an abundant number, since it is smaller than the sum of its proper divisors (3441105920).

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

2140040320 is a wasteful number, since it uses less digits than its factorization.

2140040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304013 (or 304001 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2140040320 is about 46260.5698192316. The cubic root of 2140040320 is about 1288.6668357499. Note that the first 3 decimals are identical.

Adding to 2140040320 its reverse (230400412), we get a palindrome (2370440732).

The spelling of 2140040320 in words is "two billion, one hundred forty million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 303983 607966 1215932 1519915 2431864 3039830 3343813 4863728 6079660 6687626 9727456 12159320 13375252 16719065 19454912 24318640 26750504 33438130 38909824 48637280 53501008 66876260 97274560 107002016 133752520 194549120 214004032 267505040 428008064 535010080 1070020160 2140040320