Search a number
-
+
23713680 = 243598807
BaseRepresentation
bin101101001110…
…1011110010000
31122121210001110
41122131132100
522032314210
62204133320
7405364044
oct132353620
948553043
1023713680
1112427491
127b37240
134bb3883
143214024
152136420
hex169d790

23713680 has 40 divisors (see below), whose sum is σ = 73513152. Its totient is φ = 6323584.

The previous prime is 23713673. The next prime is 23713699. The reversal of 23713680 is 8631732.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49164 + ... + 49643.

Almost surely, 223713680 is an apocalyptic number.

23713680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23713680 is an abundant number, since it is smaller than the sum of its proper divisors (49799472).

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

23713680 is a wasteful number, since it uses less digits than its factorization.

23713680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98823 (or 98817 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 23713680 is about 4869.6693932956. The cubic root of 23713680 is about 287.2982529163.

The spelling of 23713680 in words is "twenty-three million, seven hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 98807 197614 296421 395228 494035 592842 790456 988070 1185684 1482105 1580912 1976140 2371368 2964210 3952280 4742736 5928420 7904560 11856840 23713680