Search a number
-
+
23681640 = 2335197347
BaseRepresentation
bin101101001010…
…1101001101000
31122120011002210
41122111221220
522030303030
62203325120
7405201453
oct132255150
948504083
1023681640
1112405404
127b207a0
134ba2108
14320649a
15212bbb0
hex1695a68

23681640 has 32 divisors (see below), whose sum is σ = 71045280. Its totient is φ = 6315072.

The previous prime is 23681633. The next prime is 23681653. The reversal of 23681640 is 4618632.

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

It is a junction number, because it is equal to n+sod(n) for n = 23681598 and 23681607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98554 + ... + 98793.

It is an arithmetic number, because the mean of its divisors is an integer number (2220165).

Almost surely, 223681640 is an apocalyptic number.

23681640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23681640 is an abundant number, since it is smaller than the sum of its proper divisors (47363640).

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

23681640 is a wasteful number, since it uses less digits than its factorization.

23681640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197361 (or 197357 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 23681640 is about 4866.3785302831. The cubic root of 23681640 is about 287.1688032366.

The spelling of 23681640 in words is "twenty-three million, six hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197347 394694 592041 789388 986735 1184082 1578776 1973470 2368164 2960205 3946940 4736328 5920410 7893880 11840820 23681640