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20013132 = 22329131439
BaseRepresentation
bin100110001011…
…0000001001100
31101122202212010
41030112001030
520110410012
61552541220
7332052216
oct114260114
941582763
1020013132
111032a187
126851810
1341b93b9
14292d5b6
151b54c3c
hex131604c

20013132 has 48 divisors (see below), whose sum is σ = 48787200. Its totient is φ = 6377280.

The previous prime is 20013127. The next prime is 20013179. The reversal of 20013132 is 23131002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 45369 + ... + 45807.

It is an arithmetic number, because the mean of its divisors is an integer number (1016400).

Almost surely, 220013132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393600).

20013132 is an abundant number, since it is smaller than the sum of its proper divisors (28774068).

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

20013132 is a wasteful number, since it uses less digits than its factorization.

20013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20013132 is about 4473.6039163073. The cubic root of 20013132 is about 271.5011582150.

Adding to 20013132 its reverse (23131002), we get a palindrome (43144134).

The spelling of 20013132 in words is "twenty million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 131 174 262 348 393 439 524 786 878 1317 1572 1756 2634 3799 5268 7598 11397 12731 15196 22794 25462 38193 45588 50924 57509 76386 115018 152772 172527 230036 345054 690108 1667761 3335522 5003283 6671044 10006566 20013132