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23681820 = 22354367137
BaseRepresentation
bin101101001010…
…1101100011100
31122120011100110
41122111230130
522030304240
62203330020
7405202131
oct132255434
948504313
1023681820
1112405558
127b20910
134ba2216
143206588
15212bc80
hex1695b1c

23681820 has 96 divisors (see below), whose sum is σ = 69366528. Its totient is φ = 6031872.

The previous prime is 23681807. The next prime is 23681821. The reversal of 23681820 is 2818632.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23681821) 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, 172792 + ... + 172928.

It is an arithmetic number, because the mean of its divisors is an integer number (722568).

Almost surely, 223681820 is an apocalyptic number.

23681820 is a gapful number since it is divisible by the number (20) 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 23681820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34683264).

23681820 is an abundant number, since it is smaller than the sum of its proper divisors (45684708).

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

23681820 is a wasteful number, since it uses less digits than its factorization.

23681820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 23681820 is about 4866.3970244936. The cubic root of 23681820 is about 287.1695308081.

The spelling of 23681820 in words is "twenty-three million, six hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 67 86 129 134 137 172 201 215 258 268 274 335 402 411 430 516 548 645 670 685 804 822 860 1005 1290 1340 1370 1644 2010 2055 2580 2740 2881 4020 4110 5762 5891 8220 8643 9179 11524 11782 14405 17286 17673 18358 23564 27537 28810 29455 34572 35346 36716 43215 45895 55074 57620 58910 70692 86430 88365 91790 110148 117820 137685 172860 176730 183580 275370 353460 394697 550740 789394 1184091 1578788 1973485 2368182 3946970 4736364 5920455 7893940 11840910 23681820