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20618472 = 23373137107
BaseRepresentation
bin100111010100…
…1110011101000
31102210112020010
41032221303220
520234242342
62013531520
7340153110
oct116516350
942715203
1020618472
1110702a66
126aa3ba0
13436baa4
142a4a040
151c2429c
hex13a9ce8

20618472 has 128 divisors (see below), whose sum is σ = 63037440. Its totient is φ = 5495040.

The previous prime is 20618459. The next prime is 20618489. The reversal of 20618472 is 27481602.

It is a super-2 number, since 2×206184722 = 850242775229568, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192643 + ... + 192749.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 220618472 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 20618472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31518720).

20618472 is an abundant number, since it is smaller than the sum of its proper divisors (42418968).

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

20618472 is a wasteful number, since it uses less digits than its factorization.

20618472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 20618472 is about 4540.7567651219. The cubic root of 20618472 is about 274.2113913830.

The spelling of 20618472 in words is "twenty million, six hundred eighteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 62 74 84 93 107 111 124 148 168 186 214 217 222 248 259 296 321 372 428 434 444 518 642 651 744 749 777 856 868 888 1036 1147 1284 1302 1498 1554 1736 2072 2247 2294 2568 2604 2996 3108 3317 3441 3959 4494 4588 5208 5992 6216 6634 6882 7918 8029 8988 9176 9951 11877 13268 13764 15836 16058 17976 19902 23219 23754 24087 26536 27528 27713 31672 32116 39804 46438 47508 48174 55426 64232 69657 79608 83139 92876 95016 96348 110852 122729 139314 166278 185752 192696 221704 245458 278628 332556 368187 490916 557256 665112 736374 859103 981832 1472748 1718206 2577309 2945496 3436412 5154618 6872824 10309236 20618472