Search a number
-
+
2012393600 = 2752789839
BaseRepresentation
bin111011111110010…
…1011000010000000
312012020200012001022
41313330223002000
513110133043400
6531404325012
7100604030510
oct16774530200
95166605038
102012393600
11942a42108
12481b43768
13260bc6559
141513a3840
15bba0eb85
hex77f2b080

2012393600 has 96 divisors (see below), whose sum is σ = 5681481600. Its totient is φ = 689955840.

The previous prime is 2012393567. The next prime is 2012393633. The reversal of 2012393600 is 63932102.

2012393600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2012393567) and next prime (2012393633).

It is a self number, because there is not a number n which added to its sum of digits gives 2012393600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22520 + ... + 67319.

It is an arithmetic number, because the mean of its divisors is an integer number (59182100).

Almost surely, 22012393600 is an apocalyptic number.

2012393600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012393600 is an abundant number, since it is smaller than the sum of its proper divisors (3669088000).

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

2012393600 is an equidigital number, since it uses as much as digits as its factorization.

2012393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89870 (or 89853 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 2012393600 is about 44859.7102086048. The cubic root of 2012393600 is about 1262.5181855368.

The spelling of 2012393600 in words is "two billion, twelve million, three hundred ninety-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 89839 179678 359356 449195 628873 718712 898390 1257746 1437424 1796780 2245975 2515492 2874848 3144365 3593560 4491950 5030984 5749696 6288730 7187120 8983900 10061968 11499392 12577460 14374240 15721825 17967800 20123936 25154920 28748480 31443650 35935600 40247872 50309840 57496960 62887300 71871200 80495744 100619680 125774600 143742400 201239360 251549200 287484800 402478720 503098400 1006196800 2012393600