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2013023208 = 233740129881
BaseRepresentation
bin111011111111100…
…0100101111101000
312012021212011201010
41313333010233220
513110313220313
6531430023520
7100612262220
oct16777045750
95167764633
102013023208
11943332149
124821a7ba0
13261086cc1
141514c9080
15bbad64c3
hex77fc4be8

2013023208 has 64 divisors (see below), whose sum is σ = 5766030720. Its totient is φ = 573696000.

The previous prime is 2013023203. The next prime is 2013023209. The reversal of 2013023208 is 8023203102.

It is a super-2 number, since 2×20130232082 = 8104524871893222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2013023203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52428 + ... + 82308.

It is an arithmetic number, because the mean of its divisors is an integer number (90094230).

Almost surely, 22013023208 is an apocalyptic number.

2013023208 is a gapful number since it is divisible by the number (28) 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 2013023208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883015360).

2013023208 is an abundant number, since it is smaller than the sum of its proper divisors (3753007512).

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

2013023208 is a wasteful number, since it uses less digits than its factorization.

2013023208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30298 (or 30294 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2013023208 is about 44866.7271817323. The cubic root of 2013023208 is about 1262.6498378250.

The spelling of 2013023208 in words is "two billion, thirteen million, twenty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 401 802 1203 1604 2406 2807 3208 4812 5614 8421 9624 11228 16842 22456 29881 33684 59762 67368 89643 119524 179286 209167 239048 358572 418334 627501 717144 836668 1255002 1673336 2510004 5020008 11982281 23964562 35946843 47929124 71893686 83875967 95858248 143787372 167751934 251627901 287574744 335503868 503255802 671007736 1006511604 2013023208