Search a number
-
+
253030500 = 22335318743
BaseRepresentation
bin11110001010011…
…11000001100100
3122122010021121000
433011033001210
51004233434000
641035153300
76161503152
oct1705170144
9578107530
10253030500
1111a913618
12708a5830
1340563bb8
14258683d2
1517332000
hexf14f064

253030500 has 96 divisors (see below), whose sum is σ = 818737920. Its totient is φ = 67471200.

The previous prime is 253030489. The next prime is 253030513. The reversal of 253030500 is 5030352.

253030500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4129 + ... + 22871.

It is an arithmetic number, because the mean of its divisors is an integer number (8528520).

Almost surely, 2253030500 is an apocalyptic number.

253030500 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 253030500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409368960).

253030500 is an abundant number, since it is smaller than the sum of its proper divisors (565707420).

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

253030500 is a wasteful number, since it uses less digits than its factorization.

253030500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771 (or 18753 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 253030500 is about 15906.9324509787. The cubic root of 253030500 is about 632.4957687959.

Adding to 253030500 its reverse (5030352), we get a palindrome (258060852).

The spelling of 253030500 in words is "two hundred fifty-three million, thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 13500 18743 37486 56229 74972 93715 112458 168687 187430 224916 281145 337374 374860 468575 506061 562290 674748 843435 937150 1012122 1124580 1405725 1686870 1874300 2024244 2342875 2530305 2811450 3373740 4217175 4685750 5060610 5622900 7028625 8434350 9371500 10121220 12651525 14057250 16868700 21085875 25303050 28114500 42171750 50606100 63257625 84343500 126515250 253030500