Search a number
-
+
20300598 = 2333167181
BaseRepresentation
bin100110101110…
…0001100110110
31102012101012000
41031130030312
520144104343
62003040130
7334360263
oct115341466
942171160
1020300598
111050615a
126970046
13428a1b6
1429a626a
151baeed3
hex135c336

20300598 has 64 divisors (see below), whose sum is σ = 47523840. Its totient is φ = 6415200.

The previous prime is 20300593. The next prime is 20300611. The reversal of 20300598 is 89500302.

It is a super-2 number, since 2×203005982 = 824228558315208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112068 + ... + 112248.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 220300598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23761920).

20300598 is an abundant number, since it is smaller than the sum of its proper divisors (27223242).

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

20300598 is a wasteful number, since it uses less digits than its factorization.

20300598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20300598 is about 4505.6184925047. The cubic root of 20300598 is about 272.7949190380.

The spelling of 20300598 in words is "twenty million, three hundred thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 67 93 134 181 186 201 279 362 402 543 558 603 837 1086 1206 1629 1674 1809 2077 3258 3618 4154 4887 5611 6231 9774 11222 12127 12462 16833 18693 24254 33666 36381 37386 50499 56079 72762 100998 109143 112158 151497 218286 302994 327429 375937 654858 751874 1127811 2255622 3383433 6766866 10150299 20300598