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20202540 = 2235536353
BaseRepresentation
bin100110100010…
…0010000101100
31102000101200020
41031010100230
520132440130
62001002140
7333501351
oct115042054
942011606
1020202540
1110449516
126923350
134254687
14297c628
151b90e10
hex134442c

20202540 has 48 divisors (see below), whose sum is σ = 57643488. Its totient is φ = 5284864.

The previous prime is 20202517. The next prime is 20202557. The reversal of 20202540 is 4520202.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4 + ... + 6356.

It is an arithmetic number, because the mean of its divisors is an integer number (1200906).

Almost surely, 220202540 is an apocalyptic number.

20202540 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 20202540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28821744).

20202540 is an abundant number, since it is smaller than the sum of its proper divisors (37440948).

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

20202540 is a wasteful number, since it uses less digits than its factorization.

20202540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 20202540 is about 4494.7235732579. The cubic root of 20202540 is about 272.3549827389.

Adding to 20202540 its reverse (4520202), we get a palindrome (24722742).

It can be divided in two parts, 2020 and 2540, that added together give a triangular number (4560 = T95).

The spelling of 20202540 in words is "twenty million, two hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 6353 12706 19059 25412 31765 38118 63530 76236 95295 127060 190590 336709 381180 673418 1010127 1346836 1683545 2020254 3367090 4040508 5050635 6734180 10101270 20202540