Search a number
-
+
23045440 = 265116547
BaseRepresentation
bin101011111101…
…0010101000000
31121100211101211
41113322111000
521344423230
62141535504
7366611605
oct127722500
947324354
1023045440
1112010420
127874594
134a0b672
1430bc6ac
15205342a
hex15fa540

23045440 has 56 divisors (see below), whose sum is σ = 59874912. Its totient is φ = 8378880.

The previous prime is 23045437. The next prime is 23045441. The reversal of 23045440 is 4454032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23045441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 6793.

Almost surely, 223045440 is an apocalyptic number.

23045440 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 23045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937456).

23045440 is an abundant number, since it is smaller than the sum of its proper divisors (36829472).

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

23045440 is a wasteful number, since it uses less digits than its factorization.

23045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6575 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 23045440 is about 4800.5666332215. The cubic root of 23045440 is about 284.5738578510.

Adding to 23045440 its reverse (4454032), we get a palindrome (27499472).

It can be divided in two parts, 2304 and 5440, that added together give a square (7744 = 882).

The spelling of 23045440 in words is "twenty-three million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 6547 13094 26188 32735 52376 65470 72017 104752 130940 144034 209504 261880 288068 360085 419008 523760 576136 720170 1047520 1152272 1440340 2095040 2304544 2880680 4609088 5761360 11522720 23045440