Search a number
-
+
23393260 = 22511113941
BaseRepresentation
bin101100100111…
…1001111101100
31122000111112001
41121033033230
521442041020
62153222044
7402560632
oct131171754
948014461
1023393260
1112228780
127a01924
134b00a87
14316d352
1520c150a
hex164f3ec

23393260 has 48 divisors (see below), whose sum is σ = 54123552. Its totient is φ = 8422400.

The previous prime is 23393239. The next prime is 23393261. The reversal of 23393260 is 6239332.

It is a super-2 number, since 2×233932602 = 1094489226855200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23393261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24390 + ... + 25330.

It is an arithmetic number, because the mean of its divisors is an integer number (1127574).

Almost surely, 223393260 is an apocalyptic number.

23393260 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 23393260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27061776).

23393260 is an abundant number, since it is smaller than the sum of its proper divisors (30730292).

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

23393260 is a wasteful number, since it uses less digits than its factorization.

23393260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 23393260 is about 4836.6579370470. The cubic root of 23393260 is about 285.9983862200.

It can be divided in two parts, 23393 and 260, that added together give a triangular number (23653 = T217).

The spelling of 23393260 in words is "twenty-three million, three hundred ninety-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 941 1130 1243 1882 2260 2486 3764 4705 4972 6215 9410 10351 12430 18820 20702 24860 41404 51755 103510 106333 207020 212666 425332 531665 1063330 1169663 2126660 2339326 4678652 5848315 11696630 23393260