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2042513160 = 233523740041
BaseRepresentation
bin111100110111110…
…0100011100001000
312021100100102022120
41321233210130020
513140340410120
6534402051240
7101421034602
oct17157443410
95240312276
102042513160
11958a44406
12490049b20
13267210a8c
141553a4172
15be4ae140
hex79be4708

2042513160 has 64 divisors (see below), whose sum is σ = 6393962880. Its totient is φ = 520988160.

The previous prime is 2042513141. The next prime is 2042513191. The reversal of 2042513160 is 613152402.

2042513160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2042513160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367261 + ... + 372780.

It is an arithmetic number, because the mean of its divisors is an integer number (99905670).

Almost surely, 22042513160 is an apocalyptic number.

2042513160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042513160 is an abundant number, since it is smaller than the sum of its proper divisors (4351449720).

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

2042513160 is a wasteful number, since it uses less digits than its factorization.

2042513160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740078 (or 740074 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2042513160 is about 45194.1717481358. The cubic root of 2042513160 is about 1268.7857367044.

Adding to 2042513160 its reverse (613152402), we get a palindrome (2655665562).

The spelling of 2042513160 in words is "two billion, forty-two million, five hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 740041 1480082 2220123 2960164 3700205 4440246 5920328 7400410 8880492 11100615 14800820 17020943 17760984 22201230 29601640 34041886 44402460 51062829 68083772 85104715 88804920 102125658 136167544 170209430 204251316 255314145 340418860 408502632 510628290 680837720 1021256580 2042513160