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20088016 = 24132171923
BaseRepresentation
bin100110010100…
…0010011010000
31101210120120121
41030220103100
520120304031
61554320024
7332513434
oct114502320
941716517
1020088016
1110380473
126889014
134214500
14294c9c4
151b6c011
hex13284d0

20088016 has 120 divisors (see below), whose sum is σ = 49014720. Its totient is φ = 7907328.

The previous prime is 20088011. The next prime is 20088017. The reversal of 20088016 is 61088002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20088011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873381 + ... + 873403.

It is an arithmetic number, because the mean of its divisors is an integer number (408456).

Almost surely, 220088016 is an apocalyptic number.

20088016 is a gapful number since it is divisible by the number (26) 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 20088016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507360).

20088016 is an abundant number, since it is smaller than the sum of its proper divisors (28926704).

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

20088016 is a wasteful number, since it uses less digits than its factorization.

20088016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 20088016 is about 4481.9656402074. The cubic root of 20088016 is about 271.8393659379.

The spelling of 20088016 in words is "twenty million, eighty-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 19 23 26 34 38 46 52 68 76 92 104 136 152 169 184 208 221 247 272 299 304 323 338 368 391 437 442 494 598 646 676 782 874 884 988 1196 1292 1352 1564 1748 1768 1976 2392 2584 2704 2873 3128 3211 3496 3536 3887 3952 4199 4784 5083 5168 5681 5746 6256 6422 6992 7429 7774 8398 10166 11362 11492 12844 14858 15548 16796 20332 22724 22984 25688 29716 31096 33592 40664 45448 45968 51376 54587 59432 62192 66079 67184 73853 81328 90896 96577 109174 118864 132158 147706 193154 218348 264316 295412 386308 436696 528632 590824 772616 873392 1057264 1181648 1255501 1545232 2511002 5022004 10044008 20088016