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20388816 = 24327113179
BaseRepresentation
bin100110111000…
…1101111010000
31102100212012100
41031301233100
520204420231
62005000400
7335205420
oct115615720
942325170
1020388816
1110566468
1269b3100
1342bb3b6
1429ca480
151bcb1e6
hex1371bd0

20388816 has 120 divisors (see below), whose sum is σ = 66156480. Its totient is φ = 5741568.

The previous prime is 20388811. The next prime is 20388817. The reversal of 20388816 is 61888302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20388811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 113815 + ... + 113993.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 220388816 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 20388816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078240).

20388816 is an abundant number, since it is smaller than the sum of its proper divisors (45767664).

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

20388816 is a wasteful number, since it uses less digits than its factorization.

20388816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 20388816 is about 4515.3976569069. The cubic root of 20388816 is about 273.1894993131.

The spelling of 20388816 in words is "twenty million, three hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 179 226 252 336 339 358 452 504 537 678 716 791 904 1008 1017 1074 1253 1356 1432 1582 1611 1808 2034 2148 2373 2506 2712 2864 3164 3222 3759 4068 4296 4746 5012 5424 6328 6444 7119 7518 8136 8592 9492 10024 11277 12656 12888 14238 15036 16272 18984 20048 20227 22554 25776 28476 30072 37968 40454 45108 56952 60144 60681 80908 90216 113904 121362 141589 161816 180432 182043 242724 283178 323632 364086 424767 485448 566356 728172 849534 970896 1132712 1274301 1456344 1699068 2265424 2548602 2912688 3398136 5097204 6796272 10194408 20388816