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20972196 = 2234721321
BaseRepresentation
bin101000000000…
…0001010100100
31110110111110000
41100000022210
520332102241
62025301300
7343155300
oct120001244
943414400
1020972196
11109247a3
127034830
134463aab
142adcd00
151c93eb6
hex14002a4

20972196 has 90 divisors (see below), whose sum is σ = 63824838. Its totient is φ = 5987520.

The previous prime is 20972179. The next prime is 20972221. The reversal of 20972196 is 69127902.

20972196 = T288 + T289 + ... + T530.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 396900 = 4536^2 + 630^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20972196.

It is a congruent number.

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, 15216 + ... + 16536.

Almost surely, 220972196 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 20972196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31912419).

20972196 is an abundant number, since it is smaller than the sum of its proper divisors (42852642).

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

20972196 is a wasteful number, since it uses less digits than its factorization.

20972196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 20972196 is about 4579.5410250373. The cubic root of 20972196 is about 275.7706033413.

The spelling of 20972196 in words is "twenty million, nine hundred seventy-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1321 1323 1764 2268 2642 2646 3963 3969 5284 5292 7926 7938 9247 11889 15852 15876 18494 23778 27741 35667 36988 47556 55482 64729 71334 83223 107001 110964 129458 142668 166446 194187 214002 249669 258916 332892 388374 428004 499338 582561 749007 776748 998676 1165122 1498014 1747683 2330244 2996028 3495366 5243049 6990732 10486098 20972196