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2010140200 = 2352233791153
BaseRepresentation
bin111011111010000…
…0100111000101000
312012002102200222001
41313310010320220
513104043441300
6531244140344
7100545624025
oct16764047050
95162380861
102010140200
119417430a2
124812376b4
132605b7993
14150d7854c
15bb71716a
hex77d04e28

2010140200 has 96 divisors (see below), whose sum is σ = 4893883200. Its totient is φ = 766402560.

The previous prime is 2010140189. The next prime is 2010140201. The reversal of 2010140200 is 20410102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2010140201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1742824 + ... + 1743976.

It is an arithmetic number, because the mean of its divisors is an integer number (50977950).

Almost surely, 22010140200 is an apocalyptic number.

2010140200 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 2010140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446941600).

2010140200 is an abundant number, since it is smaller than the sum of its proper divisors (2883743000).

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

2010140200 is a wasteful number, since it uses less digits than its factorization.

2010140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2010140200 is about 44834.5870952326. The cubic root of 2010140200 is about 1262.0467699662.

Adding to 2010140200 its reverse (20410102), we get a palindrome (2030550302).

The spelling of 2010140200 in words is "two billion, ten million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 379 460 575 758 920 1150 1153 1516 1895 2300 2306 3032 3790 4600 4612 5765 7580 8717 9224 9475 11530 15160 17434 18950 23060 26519 28825 34868 37900 43585 46120 53038 57650 69736 75800 87170 106076 115300 132595 174340 212152 217925 230600 265190 348680 435850 436987 530380 662975 871700 873974 1060760 1325950 1743400 1747948 2184935 2651900 3495896 4369870 5303800 8739740 10050701 10924675 17479480 20101402 21849350 40202804 43698700 50253505 80405608 87397400 100507010 201014020 251267525 402028040 502535050 1005070100 2010140200