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20027904 = 293131759
BaseRepresentation
bin100110001100…
…1101000000000
31101200112010020
41030121220000
520111343104
61553133440
7332143251
oct114315000
941615106
1020027904
111033a296
12685a280
1341c3040
142934b28
151b592d9
hex1319a00

20027904 has 160 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 5701632.

The previous prime is 20027899. The next prime is 20027911. The reversal of 20027904 is 40972002.

It is a super-2 number, since 2×200279042 = 802233877266432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 339427 + ... + 339485.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 220027904 is an apocalyptic number.

20027904 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 20027904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

20027904 is an abundant number, since it is smaller than the sum of its proper divisors (41843136).

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

20027904 is a wasteful number, since it uses less digits than its factorization.

20027904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20027904 is about 4475.2546296272. The cubic root of 20027904 is about 271.5679415109.

Adding to 20027904 its reverse (40972002), we get a palindrome (60999906).

The spelling of 20027904 in words is "twenty million, twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 59 64 68 78 96 102 104 118 128 136 156 177 192 204 208 221 236 256 272 312 354 384 408 416 442 472 512 544 624 663 708 767 768 816 832 884 944 1003 1088 1248 1326 1416 1534 1536 1632 1664 1768 1888 2006 2176 2301 2496 2652 2832 3009 3068 3264 3328 3536 3776 4012 4352 4602 4992 5304 5664 6018 6136 6528 6656 7072 7552 8024 8704 9204 9984 10608 11328 12036 12272 13039 13056 14144 15104 16048 18408 19968 21216 22656 24072 24544 26078 26112 28288 30208 32096 36816 39117 42432 45312 48144 49088 52156 56576 64192 73632 78234 84864 90624 96288 98176 104312 113152 128384 147264 156468 169728 192576 196352 208624 256768 294528 312936 339456 385152 392704 417248 513536 589056 625872 770304 834496 1178112 1251744 1540608 1668992 2503488 3337984 5006976 6675968 10013952 20027904