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20311620 = 22357137353
BaseRepresentation
bin100110101111…
…0111001000100
31102012221022020
41031132321010
520144432440
62003203140
7334434360
oct115367104
942187266
1020311620
111051346a
1269764b0
134292214
1429aa2a0
151bb33d0
hex135ee44

20311620 has 96 divisors (see below), whose sum is σ = 65657088. Its totient is φ = 4595712.

The previous prime is 20311619. The next prime is 20311657. The reversal of 20311620 is 2611302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20311620.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57364 + ... + 57716.

It is an arithmetic number, because the mean of its divisors is an integer number (683928).

Almost surely, 220311620 is an apocalyptic number.

20311620 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 20311620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32828544).

20311620 is an abundant number, since it is smaller than the sum of its proper divisors (45345468).

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

20311620 is a wasteful number, since it uses less digits than its factorization.

20311620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20311620 is about 4506.8414660381. The cubic root of 20311620 is about 272.8442805002.

Adding to 20311620 its reverse (2611302), we get a palindrome (22922922).

The spelling of 20311620 in words is "twenty million, three hundred eleven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 353 411 420 548 685 706 822 959 1059 1370 1412 1644 1765 1918 2055 2118 2471 2740 2877 3530 3836 4110 4236 4795 4942 5295 5754 7060 7413 8220 9590 9884 10590 11508 12355 14385 14826 19180 21180 24710 28770 29652 37065 48361 49420 57540 74130 96722 145083 148260 193444 241805 290166 338527 483610 580332 677054 725415 967220 1015581 1354108 1450830 1692635 2031162 2901660 3385270 4062324 5077905 6770540 10155810 20311620