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2140000320 = 26352229167
BaseRepresentation
bin111111110001101…
…1101000001000000
312112010210021120010
41333203131001000
513340320002240
6552203344520
7104013462663
oct17743350100
95463707503
102140000320
119a8a79a07
124b8822140
132814848a3
141642dd6da
15c7d19280
hex7f8dd040

2140000320 has 56 divisors (see below), whose sum is σ = 6794504064. Its totient is φ = 570666496.

The previous prime is 2140000319. The next prime is 2140000327. The reversal of 2140000320 is 230000412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2140000296 and 2140000305.

It is not an unprimeable number, because it can be changed into a prime (2140000327) 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, 1113624 + ... + 1115543.

Almost surely, 22140000320 is an apocalyptic number.

2140000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140000320 is an abundant number, since it is smaller than the sum of its proper divisors (4654503744).

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

2140000320 is a wasteful number, since it uses less digits than its factorization.

2140000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229187 (or 2229177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2140000320 is about 46260.1374835830. The cubic root of 2140000320 is about 1288.6588067743.

Adding to 2140000320 its reverse (230000412), we get a palindrome (2370000732).

The spelling of 2140000320 in words is "two billion, one hundred forty million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2229167 4458334 6687501 8916668 11145835 13375002 17833336 22291670 26750004 33437505 35666672 44583340 53500008 66875010 71333344 89166680 107000016 133750020 142666688 178333360 214000032 267500040 356666720 428000064 535000080 713333440 1070000160 2140000320