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20388264 = 23313101647
BaseRepresentation
bin100110111000…
…1100110101000
31102100211102220
41031301212220
520204411024
62004554040
7335204001
oct115614650
942324386
1020388264
1110566006
1269b2920
1342bb080
1429ca1a8
151bcae79
hex13719a8

20388264 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 6201600.

The previous prime is 20388211. The next prime is 20388283. The reversal of 20388264 is 46288302.

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, 31189 + ... + 31835.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 220388264 is an apocalyptic number.

20388264 is a gapful number since it is divisible by the number (24) 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 20388264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

20388264 is an abundant number, since it is smaller than the sum of its proper divisors (35132376).

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

20388264 is a wasteful number, since it uses less digits than its factorization.

20388264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 20388264 is about 4515.3365323085. The cubic root of 20388264 is about 273.1870338771.

The spelling of 20388264 in words is "twenty million, three hundred eighty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 303 312 404 606 647 808 1212 1294 1313 1941 2424 2588 2626 3882 3939 5176 5252 7764 7878 8411 10504 15528 15756 16822 25233 31512 33644 50466 65347 67288 100932 130694 196041 201864 261388 392082 522776 784164 849511 1568328 1699022 2548533 3398044 5097066 6796088 10194132 20388264