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2013023240 = 23571733967
BaseRepresentation
bin111011111111100…
…0100110000001000
312012021212011202022
41313333010300020
513110313220430
6531430024012
7100612262264
oct16777046010
95167764668
102013023240
11943332178
124821a8008
13261087017
141514c90a4
15bbad64e5
hex77fc4c08

2013023240 has 64 divisors (see below), whose sum is σ = 4604117760. Its totient is φ = 791965440.

The previous prime is 2013023239. The next prime is 2013023293. The reversal of 2013023240 is 423203102.

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, 2081237 + ... + 2082203.

It is an arithmetic number, because the mean of its divisors is an integer number (71939340).

Almost surely, 22013023240 is an apocalyptic number.

2013023240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302058880).

2013023240 is an abundant number, since it is smaller than the sum of its proper divisors (2591094520).

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

2013023240 is a wasteful number, since it uses less digits than its factorization.

2013023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2013023240 is about 44866.7275383440. The cubic root of 2013023240 is about 1262.6498445155.

Adding to 2013023240 its reverse (423203102), we get a palindrome (2436226342).

The spelling of 2013023240 in words is "two billion, thirteen million, twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 733 967 1420 1466 1934 2840 2932 3665 3868 4835 5864 7330 7736 9670 14660 19340 29320 38680 52043 68657 104086 137314 208172 260215 274628 343285 416344 520430 549256 686570 708811 1040860 1373140 1417622 2081720 2746280 2835244 3544055 5670488 7088110 14176220 28352440 50325581 100651162 201302324 251627905 402604648 503255810 1006511620 2013023240