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20803172 = 221317101233
BaseRepresentation
bin100111101011…
…0111001100100
31110010220120212
41033112321210
520311200142
62021514552
7341552435
oct117267144
943126525
1020803172
1110819805
126b72a58
134404b90
142a9748c
151c5dd82
hex13d6e64

20803172 has 48 divisors (see below), whose sum is σ = 42103152. Its totient is φ = 8908800.

The previous prime is 20803169. The next prime is 20803177. The reversal of 20803172 is 27130802.

It can be written as a sum of positive squares in 8 ways, for example, as 155236 + 20647936 = 394^2 + 4544^2 .

It is a super-3 number, since 3×208031723 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20803177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89168 + ... + 89400.

It is an arithmetic number, because the mean of its divisors is an integer number (877149).

Almost surely, 220803172 is an apocalyptic number.

It is an amenable number.

20803172 is an abundant number, since it is smaller than the sum of its proper divisors (21299980).

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

20803172 is a wasteful number, since it uses less digits than its factorization.

20803172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 20803172 is about 4561.0494406441. The cubic root of 20803172 is about 275.0277525711.

Adding to 20803172 its reverse (27130802), we get a palindrome (47933974).

The spelling of 20803172 in words is "twenty million, eight hundred three thousand, one hundred seventy-two".

Divisors: 1 2 4 13 17 26 34 52 68 101 202 221 233 404 442 466 884 932 1313 1717 2626 3029 3434 3961 5252 6058 6868 7922 12116 15844 22321 23533 44642 47066 51493 89284 94132 102986 205972 305929 400061 611858 800122 1223716 1600244 5200793 10401586 20803172