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20399184 = 24321317641
BaseRepresentation
bin100110111010…
…0010001010000
31102101101102100
41031310101100
520210233214
62005120400
7335250561
oct115642120
942341370
1020399184
1110573233
1269b9100
1342c3030
1429d0168
151bce309
hex1374450

20399184 has 120 divisors (see below), whose sum is σ = 65198952. Its totient is φ = 5898240.

The previous prime is 20399177. The next prime is 20399213. The reversal of 20399184 is 48199302.

It can be written as a sum of positive squares in 4 ways, for example, as 6110784 + 14288400 = 2472^2 + 3780^2 .

It is a super-2 number, since 2×203991842 = 832253415731712, which contains 22 as substring.

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

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, 31504 + ... + 32144.

Almost surely, 220399184 is an apocalyptic number.

20399184 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 20399184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32599476).

20399184 is an abundant number, since it is smaller than the sum of its proper divisors (44799768).

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

20399184 is a wasteful number, since it uses less digits than its factorization.

20399184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20399184 is about 4516.5455826328. The cubic root of 20399184 is about 273.2357983683.

The spelling of 20399184 in words is "twenty million, three hundred ninety-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 641 663 816 884 936 1224 1282 1326 1768 1872 1923 1989 2448 2564 2652 3536 3846 3978 5128 5304 5769 7692 7956 8333 10256 10608 10897 11538 15384 15912 16666 21794 23076 24999 30768 31824 32691 33332 43588 46152 49998 65382 66664 74997 87176 92304 98073 99996 130764 133328 141661 149994 174352 196146 199992 261528 283322 299988 392292 399984 424983 523056 566644 599976 784584 849966 1133288 1199952 1274949 1569168 1699932 2266576 2549898 3399864 5099796 6799728 10199592 20399184