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20124288 = 2735647
BaseRepresentation
bin100110011000…
…1001010000000
31101212102100000
41030301022000
520122434123
61555200000
7333024252
oct114611200
941772300
1020124288
11103a5748
1268a6000
134227b82
14295bcd2
151b77b43
hex1331280

20124288 has 96 divisors (see below), whose sum is σ = 60147360. Its totient is φ = 6697728.

The previous prime is 20124271. The next prime is 20124323. The reversal of 20124288 is 88242102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30781 + ... + 31427.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 220124288 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 20124288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073680).

20124288 is an abundant number, since it is smaller than the sum of its proper divisors (40023072).

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

20124288 is an frugal number, since it uses more digits than its factorization.

20124288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20124288 is about 4486.0102541122. The cubic root of 20124288 is about 272.0028834758.

The spelling of 20124288 in words is "twenty million, one hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 647 648 864 972 1152 1294 1296 1728 1941 1944 2588 2592 3456 3882 3888 5176 5184 5823 7764 7776 10352 10368 11646 15528 15552 17469 20704 23292 31056 31104 34938 41408 46584 52407 62112 69876 82816 93168 104814 124224 139752 157221 186336 209628 248448 279504 314442 372672 419256 559008 628884 745344 838512 1118016 1257768 1677024 2236032 2515536 3354048 5031072 6708096 10062144 20124288