Search a number
-
+
23080320 = 273254007
BaseRepresentation
bin101100000001…
…0110110000000
31121102121020200
41120002312000
521402032240
62142405200
7400115364
oct130026600
947377220
1023080320
111203464a
127890800
134a214c3
1430cb2a4
15205d930
hex1602d80

23080320 has 96 divisors (see below), whose sum is σ = 79719120. Its totient is φ = 6153216.

The previous prime is 23080303. The next prime is 23080333. The reversal of 23080320 is 2308032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23080293 and 23080302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3757 + ... + 7763.

Almost surely, 223080320 is an apocalyptic number.

23080320 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 23080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39859560).

23080320 is an abundant number, since it is smaller than the sum of its proper divisors (56638800).

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

23080320 is a wasteful number, since it uses less digits than its factorization.

23080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23080320 is about 4804.1981641061. The cubic root of 23080320 is about 284.7173559809.

Adding to 23080320 its reverse (2308032), we get a palindrome (25388352).

The spelling of 23080320 in words is "twenty-three million, eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 4007 5760 8014 12021 16028 20035 24042 32056 36063 40070 48084 60105 64112 72126 80140 96168 120210 128224 144252 160280 180315 192336 240420 256448 288504 320560 360630 384672 480840 512896 577008 641120 721260 769344 961680 1154016 1282240 1442520 1538688 1923360 2308032 2564480 2885040 3846720 4616064 5770080 7693440 11540160 23080320