Search a number
-
+
20058912 = 2532172241
BaseRepresentation
bin100110010000…
…1001100100000
31101202002122200
41030201030200
520113341122
61553533200
7332332536
oct114411440
941662580
1020058912
1110360615
126874200
1342041a3
142942156
151b635ac
hex1321320

20058912 has 108 divisors (see below), whose sum is σ = 60846786. Its totient is φ = 6266880.

The previous prime is 20058911. The next prime is 20058937. The reversal of 20058912 is 21985002.

It can be written as a sum of positive squares in 3 ways, for example, as 20034576 + 24336 = 4476^2 + 156^2 .

It is not an unprimeable number, because it can be changed into a prime (20058911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83112 + ... + 83352.

Almost surely, 220058912 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 20058912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30423393).

20058912 is an abundant number, since it is smaller than the sum of its proper divisors (40787874).

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

20058912 is a wasteful number, since it uses less digits than its factorization.

20058912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 20058912 is about 4478.7176736204. The cubic root of 20058912 is about 271.7080200179.

The spelling of 20058912 in words is "twenty million, fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 241 272 288 289 306 408 482 544 578 612 723 816 867 964 1156 1224 1446 1632 1734 1928 2169 2312 2448 2601 2892 3468 3856 4097 4338 4624 4896 5202 5784 6936 7712 8194 8676 9248 10404 11568 12291 13872 16388 17352 20808 23136 24582 27744 32776 34704 36873 41616 49164 65552 69408 69649 73746 83232 98328 131104 139298 147492 196656 208947 278596 294984 393312 417894 557192 589968 626841 835788 1114384 1179936 1253682 1671576 2228768 2507364 3343152 5014728 6686304 10029456 20058912