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23680140 = 22351135879
BaseRepresentation
bin101101001010…
…1010010001100
31122120002001020
41122111102030
522030231030
62203314140
7405164211
oct132252214
948502036
1023680140
1112404270
127b1b950
134ba1523
143205b08
15212b510
hex169548c

23680140 has 48 divisors (see below), whose sum is σ = 72334080. Its totient is φ = 5740480.

The previous prime is 23680127. The next prime is 23680159. The reversal of 23680140 is 4108632.

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 23680140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17280 + ... + 18599.

It is an arithmetic number, because the mean of its divisors is an integer number (1506960).

Almost surely, 223680140 is an apocalyptic number.

23680140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23680140 is an abundant number, since it is smaller than the sum of its proper divisors (48653940).

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

23680140 is a wasteful number, since it uses less digits than its factorization.

23680140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35902 (or 35900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23680140 is about 4866.2244091287. The cubic root of 23680140 is about 287.1627399981.

Adding to 23680140 its reverse (4108632), we get a palindrome (27788772).

The spelling of 23680140 in words is "twenty-three million, six hundred eighty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 35879 71758 107637 143516 179395 215274 358790 394669 430548 538185 717580 789338 1076370 1184007 1578676 1973345 2152740 2368014 3946690 4736028 5920035 7893380 11840070 23680140