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20620116 = 223311171021
BaseRepresentation
bin100111010101…
…0001101010100
31102210121111000
41032222031110
520234320431
62013543300
7340160646
oct116521524
942717430
1020620116
1110704220
126aa4b30
13436c76a
142a4a896
151c249e6
hex13aa354

20620116 has 96 divisors (see below), whose sum is σ = 61810560. Its totient is φ = 5875200.

The previous prime is 20620109. The next prime is 20620123. The reversal of 20620116 is 61102602.

20620116 = T373 + T374 + ... + T559.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20620109) and next prime (20620123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19686 + ... + 20706.

It is an arithmetic number, because the mean of its divisors is an integer number (643860).

Almost surely, 220620116 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 20620116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905280).

20620116 is an abundant number, since it is smaller than the sum of its proper divisors (41190444).

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

20620116 is a wasteful number, since it uses less digits than its factorization.

20620116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20620116 is about 4540.9377886071. The cubic root of 20620116 is about 274.2186792096.

Adding to 20620116 its reverse (61102602), we get a palindrome (81722718).

It can be divided in two parts, 20620 and 116, that added together give a 4-th power (20736 = 124).

The spelling of 20620116 in words is "twenty million, six hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1021 1122 1188 1683 1836 2042 2244 3063 3366 4084 5049 6126 6732 9189 10098 11231 12252 17357 18378 20196 22462 27567 33693 34714 36756 44924 52071 55134 67386 69428 101079 104142 110268 134772 156213 190927 202158 208284 303237 312426 381854 404316 468639 572781 606474 624852 763708 937278 1145562 1212948 1718343 1874556 2291124 3436686 5155029 6873372 10310058 20620116