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20098692 = 2234174189
BaseRepresentation
bin100110010101…
…0111010000100
31101211010020000
41030222322010
520121124232
61554441300
7332556525
oct114527204
941733200
1020098692
1110388499
126893230
134219323
14295284c
151b7027c
hex132ae84

20098692 has 120 divisors (see below), whose sum is σ = 57629880. Its totient is φ = 6082560.

The previous prime is 20098681. The next prime is 20098693. The reversal of 20098692 is 29689002.

It can be written as a sum of positive squares in 4 ways, for example, as 171396 + 19927296 = 414^2 + 4464^2 .

It is a super-2 number, since 2×200986922 = 807914840221728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20098693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225784 + ... + 225872.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 220098692 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 20098692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28814940).

20098692 is an abundant number, since it is smaller than the sum of its proper divisors (37531188).

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

20098692 is a wasteful number, since it uses less digits than its factorization.

20098692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20098692 is about 4483.1564773048. The cubic root of 20098692 is about 271.8875147628.

It can be divided in two parts, 2009 and 8692, that added together give a palindrome (10701).

The spelling of 20098692 in words is "twenty million, ninety-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 89 102 108 123 153 162 164 178 204 246 267 306 324 356 369 459 492 534 612 697 738 801 918 1068 1107 1377 1394 1476 1513 1602 1836 2091 2214 2403 2754 2788 3026 3204 3321 3649 4182 4428 4539 4806 5508 6052 6273 6642 7209 7298 8364 9078 9612 10947 12546 13284 13617 14418 14596 18156 18819 21894 25092 27234 28836 32841 37638 40851 43788 54468 56457 62033 65682 75276 81702 98523 112914 122553 124066 131364 163404 186099 197046 225828 245106 248132 295569 372198 394092 490212 558297 591138 744396 1116594 1182276 1674891 2233188 3349782 5024673 6699564 10049346 20098692