Search a number
-
+
23235840 = 283252017
BaseRepresentation
bin101100010100…
…0110100000000
31121201111120200
41120220310000
521422021330
62150005200
7401333655
oct130506400
947644520
1023235840
1112130481
127946800
134a77224
14312bc2c
15208ea60
hex1628d00

23235840 has 108 divisors (see below), whose sum is σ = 80433444. Its totient is φ = 6193152.

The previous prime is 23235829. The next prime is 23235847. The reversal of 23235840 is 4853232.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 8856576 = 3792^2 + 2976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23235847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10512 + ... + 12528.

Almost surely, 223235840 is an apocalyptic number.

23235840 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 23235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216722).

23235840 is an abundant number, since it is smaller than the sum of its proper divisors (57197604).

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

23235840 is a wasteful number, since it uses less digits than its factorization.

23235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23235840 is about 4820.3568332645. The cubic root of 23235840 is about 285.3554199186.

The spelling of 23235840 in words is "twenty-three million, two hundred thirty-five thousand, eight hundred forty".

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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2017 2304 2880 3840 4034 5760 6051 8068 10085 11520 12102 16136 18153 20170 24204 30255 32272 36306 40340 48408 60510 64544 72612 80680 90765 96816 121020 129088 145224 161360 181530 193632 242040 258176 290448 322720 363060 387264 484080 516352 580896 645440 726120 774528 968160 1161792 1290880 1452240 1549056 1936320 2323584 2581760 2904480 3872640 4647168 5808960 7745280 11617920 23235840