Search a number
-
+
23380000 = 25547167
BaseRepresentation
bin101100100110…
…0000000100000
31121222211022221
41121030000200
521441130000
62153040424
7402504160
oct131140040
947884287
1023380000
1112219816
1279b6114
134ac7a27
1431685a0
1520bc61a
hex164c020

23380000 has 120 divisors (see below), whose sum is σ = 66128832. Its totient is φ = 7968000.

The previous prime is 23379997. The next prime is 23380057. The reversal of 23380000 is 8332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139917 + ... + 140083.

Almost surely, 223380000 is an apocalyptic number.

23380000 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 23380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33064416).

23380000 is an abundant number, since it is smaller than the sum of its proper divisors (42748832).

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

23380000 is an equidigital number, since it uses as much as digits as its factorization.

23380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 23380000 is about 4835.2869614946. The cubic root of 23380000 is about 285.9443385248.

Adding to 23380000 its reverse (8332), we get a palindrome (23388332).

It can be divided in two parts, 2 and 3380000, that multiplied together give a square (6760000 = 26002).

The spelling of 23380000 in words is "twenty-three million, three hundred eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 167 175 200 224 250 280 334 350 400 500 560 625 668 700 800 835 875 1000 1120 1169 1250 1336 1400 1670 1750 2000 2338 2500 2672 2800 3340 3500 4000 4175 4375 4676 5000 5344 5600 5845 6680 7000 8350 8750 9352 10000 11690 13360 14000 16700 17500 18704 20000 20875 23380 26720 28000 29225 33400 35000 37408 41750 46760 58450 66800 70000 83500 93520 104375 116900 133600 140000 146125 167000 187040 208750 233800 292250 334000 417500 467600 584500 668000 730625 835000 935200 1169000 1461250 1670000 2338000 2922500 3340000 4676000 5845000 11690000 23380000