Search a number
-
+
23130000 = 243254257
BaseRepresentation
bin101100000111…
…0111110010000
31121112010101200
41120032332100
521410130000
62143431200
7400413255
oct130167620
947463350
1023130000
1112068a03
1278b5500
134a3acba
14310142c
15206d500
hex160ef90

23130000 has 150 divisors (see below), whose sum is σ = 81203694. Its totient is φ = 6144000.

The previous prime is 23129993. The next prime is 23130007. The reversal of 23130000 is 3132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23129993) and next prime (23130007).

It can be written as a sum of positive squares in 5 ways, for example, as 2663424 + 20466576 = 1632^2 + 4524^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89872 + ... + 90128.

Almost surely, 223130000 is an apocalyptic number.

23130000 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 23130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40601847).

23130000 is an abundant number, since it is smaller than the sum of its proper divisors (58073694).

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

23130000 is a wasteful number, since it uses less digits than its factorization.

23130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 23130000 is about 4809.3658625644. The cubic root of 23130000 is about 284.9214926881.

Adding to 23130000 its reverse (3132), we get a palindrome (23133132).

The spelling of 23130000 in words is "twenty-three million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 257 300 360 375 400 450 500 514 600 625 720 750 771 900 1000 1028 1125 1200 1250 1285 1500 1542 1800 1875 2000 2056 2250 2313 2500 2570 3000 3084 3600 3750 3855 4112 4500 4626 5000 5140 5625 6000 6168 6425 7500 7710 9000 9252 10000 10280 11250 11565 12336 12850 15000 15420 18000 18504 19275 20560 22500 23130 25700 30000 30840 32125 37008 38550 45000 46260 51400 57825 61680 64250 77100 90000 92520 96375 102800 115650 128500 154200 160625 185040 192750 231300 257000 289125 308400 321250 385500 462600 481875 514000 578250 642500 771000 925200 963750 1156500 1285000 1445625 1542000 1927500 2313000 2570000 2891250 3855000 4626000 5782500 7710000 11565000 23130000