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20198304 = 2532743233
BaseRepresentation
bin100110100001…
…1001110100000
31102000011212100
41031003032200
520132321204
62000530400
7333453120
oct115031640
942004770
1020198304
1110446315
126920a00
134252779
14297ac80
151b8ea39
hex13433a0

20198304 has 144 divisors (see below), whose sum is σ = 67459392. Its totient is φ = 5612544.

The previous prime is 20198287. The next prime is 20198327. The reversal of 20198304 is 40389102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86572 + ... + 86804.

It is an arithmetic number, because the mean of its divisors is an integer number (468468).

Almost surely, 220198304 is an apocalyptic number.

20198304 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 20198304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33729696).

20198304 is an abundant number, since it is smaller than the sum of its proper divisors (47261088).

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

20198304 is a wasteful number, since it uses less digits than its factorization.

20198304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20198304 is about 4494.2523293647. The cubic root of 20198304 is about 272.3359459189.

It can be divided in two parts, 20198 and 304, that added together give a palindrome (20502).

The spelling of 20198304 in words is "twenty million, one hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 233 252 258 288 301 336 344 387 466 504 516 602 672 688 699 774 903 932 1008 1032 1204 1376 1398 1548 1631 1806 1864 2016 2064 2097 2408 2709 2796 3096 3262 3612 3728 4128 4194 4816 4893 5418 5592 6192 6524 7224 7456 8388 9632 9786 10019 10836 11184 12384 13048 14448 14679 16776 19572 20038 21672 22368 26096 28896 29358 30057 33552 39144 40076 43344 52192 58716 60114 67104 70133 78288 80152 86688 90171 117432 120228 140266 156576 160304 180342 210399 234864 240456 280532 320608 360684 420798 469728 480912 561064 631197 721368 841596 961824 1122128 1262394 1442736 1683192 2244256 2524788 2885472 3366384 5049576 6732768 10099152 20198304