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20117808 = 243419243
BaseRepresentation
bin100110010111…
…1100100110000
31101212002110000
41030233210300
520122232213
61555110000
7332666334
oct114574460
941762400
1020117808
11103a0897
1268a2300
134224c39
1429597c4
151b75c73
hex132f930

20117808 has 150 divisors (see below), whose sum is σ = 62881764. Its totient is φ = 6205248.

The previous prime is 20117777. The next prime is 20117821. The reversal of 20117808 is 80871102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 467835 + ... + 467877.

Almost surely, 220117808 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 20117808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31440882).

20117808 is an abundant number, since it is smaller than the sum of its proper divisors (42763956).

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

20117808 is a wasteful number, since it uses less digits than its factorization.

20117808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 20117808 is about 4485.2879506226. The cubic root of 20117808 is about 271.9736854589.

The spelling of 20117808 in words is "twenty million, one hundred seventeen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 43 48 54 57 72 76 81 86 108 114 129 144 152 162 171 172 216 228 258 304 324 342 344 361 387 432 456 513 516 648 684 688 722 774 817 912 1026 1032 1083 1161 1296 1368 1444 1539 1548 1634 2052 2064 2166 2322 2451 2736 2888 3078 3096 3249 3268 3483 4104 4332 4644 4902 5776 6156 6192 6498 6536 6966 7353 8208 8664 9288 9747 9804 12312 12996 13072 13932 14706 15523 17328 18576 19494 19608 22059 24624 25992 27864 29241 29412 31046 38988 39216 44118 46569 51984 55728 58482 58824 62092 66177 77976 88236 93138 116964 117648 124184 132354 139707 155952 176472 186276 233928 248368 264708 279414 352944 372552 419121 467856 529416 558828 745104 838242 1058832 1117656 1257363 1676484 2235312 2514726 3352968 5029452 6705936 10058904 20117808