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20700084 = 22317293499
BaseRepresentation
bin100111011110…
…1101110110100
31102221200011210
41032331232310
520244400314
62015401420
7340643046
oct116755664
942850153
1020700084
1110759309
126b23270
134399c92
142a6ba96
151c3d559
hex13bdbb4

20700084 has 48 divisors (see below), whose sum is σ = 52920000. Its totient is φ = 6268416.

The previous prime is 20700083. The next prime is 20700103. The reversal of 20700084 is 48000702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20700084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20700083) 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, 4167 + ... + 7665.

It is an arithmetic number, because the mean of its divisors is an integer number (1102500).

Almost surely, 220700084 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 20700084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460000).

20700084 is an abundant number, since it is smaller than the sum of its proper divisors (32219916).

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

20700084 is a wasteful number, since it uses less digits than its factorization.

20700084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 20700084 is about 4549.7344977482. The cubic root of 20700084 is about 274.5727094294.

Adding to 20700084 its reverse (48000702), we get a palindrome (68700786).

The spelling of 20700084 in words is "twenty million, seven hundred thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 3499 5916 6998 10497 13996 20994 41988 59483 101471 118966 178449 202942 237932 304413 356898 405884 608826 713796 1217652 1725007 3450014 5175021 6900028 10350042 20700084