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20388576 = 2531317312
BaseRepresentation
bin100110111000…
…1101011100000
31102100211212110
41031301223200
520204413301
62004555320
7335204625
oct115615340
942324773
1020388576
111056626a
1269b2b40
1342bb260
1429ca34c
151bcb0d6
hex1371ae0

20388576 has 144 divisors (see below), whose sum is σ = 63059472. Its totient is φ = 5713920.

The previous prime is 20388551. The next prime is 20388583. The reversal of 20388576 is 67588302.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657681 + ... + 657711.

It is an arithmetic number, because the mean of its divisors is an integer number (437913).

Almost surely, 220388576 is an apocalyptic number.

20388576 is a gapful number since it is divisible by the number (26) 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 20388576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31529736).

20388576 is an abundant number, since it is smaller than the sum of its proper divisors (42670896).

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

20388576 is a wasteful number, since it uses less digits than its factorization.

20388576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 20388576 is about 4515.3710810962. The cubic root of 20388576 is about 273.1884273898.

The spelling of 20388576 in words is "twenty million, three hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 31 32 34 39 48 51 52 62 68 78 93 96 102 104 124 136 156 186 204 208 221 248 272 312 372 403 408 416 442 496 527 544 624 663 744 806 816 884 961 992 1054 1209 1248 1326 1488 1581 1612 1632 1768 1922 2108 2418 2652 2883 2976 3162 3224 3536 3844 4216 4836 5304 5766 6324 6448 6851 7072 7688 8432 9672 10608 11532 12493 12648 12896 13702 15376 16337 16864 19344 20553 21216 23064 24986 25296 27404 30752 32674 37479 38688 41106 46128 49011 49972 50592 54808 65348 74958 82212 92256 98022 99944 109616 130696 149916 164424 196044 199888 212381 219232 261392 299832 328848 392088 399776 424762 522784 599664 637143 657696 784176 849524 1199328 1274286 1568352 1699048 2548572 3398096 5097144 6796192 10194288 20388576