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20684196 = 223213193229
BaseRepresentation
bin100111011100…
…1110110100100
31102220212101100
41032321312210
520243343241
62015200100
7340545531
oct116716644
942825340
1020684196
1110748385
126b16030
134392990
142a65d88
151c389b6
hex13b9da4

20684196 has 72 divisors (see below), whose sum is σ = 56845880. Its totient is φ = 6303744.

The previous prime is 20684171. The next prime is 20684197. The reversal of 20684196 is 69148602.

It can be written as a sum of positive squares in 4 ways, for example, as 2073600 + 18610596 = 1440^2 + 4314^2 .

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 20684196.

It is not an unprimeable number, because it can be changed into a prime (20684197) 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, 90210 + ... + 90438.

Almost surely, 220684196 is an apocalyptic number.

20684196 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 20684196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422940).

20684196 is an abundant number, since it is smaller than the sum of its proper divisors (36161684).

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

20684196 is a wasteful number, since it uses less digits than its factorization.

20684196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20684196 is about 4547.9881266336. The cubic root of 20684196 is about 274.5024435667.

The spelling of 20684196 in words is "twenty million, six hundred eighty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 229 234 386 458 468 579 687 772 916 1158 1374 1737 2061 2316 2509 2748 2977 3474 4122 5018 5954 6948 7527 8244 8931 10036 11908 15054 17862 22581 26793 30108 35724 44197 45162 53586 88394 90324 107172 132591 176788 265182 397773 530364 574561 795546 1149122 1591092 1723683 2298244 3447366 5171049 6894732 10342098 20684196