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20013140 = 2257163877
BaseRepresentation
bin100110001011…
…0000001010100
31101122202212102
41030112001110
520110410030
61552541232
7332052230
oct114260124
941582772
1020013140
111032a194
126851818
1341b93c4
14292d5c0
151b54c45
hex1316054

20013140 has 48 divisors (see below), whose sum is σ = 48381312. Its totient is φ = 6811776.

The previous prime is 20013127. The next prime is 20013179. The reversal of 20013140 is 4131002.

It is a happy number.

It is a congruent number.

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, 22382 + ... + 23258.

It is an arithmetic number, because the mean of its divisors is an integer number (1007944).

Almost surely, 220013140 is an apocalyptic number.

20013140 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 20013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24190656).

20013140 is an abundant number, since it is smaller than the sum of its proper divisors (28368172).

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

20013140 is a wasteful number, since it uses less digits than its factorization.

20013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 20013140 is about 4473.6048104409. The cubic root of 20013140 is about 271.5011943914.

Adding to 20013140 its reverse (4131002), we get a palindrome (24144142).

The spelling of 20013140 in words is "twenty million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 877 1141 1630 1754 2282 3260 3508 4385 4564 5705 6139 8770 11410 12278 17540 22820 24556 30695 61390 122780 142951 285902 571804 714755 1000657 1429510 2001314 2859020 4002628 5003285 10006570 20013140