Search a number
-
+
253011132 = 2232112327779
BaseRepresentation
bin11110001010010…
…10010010111100
3122122002022000200
433011022102330
51004232324012
641034523500
76161362533
oct1705122274
9578068020
10253011132
1111a900010
1270896590
134055813a
142586131a
151732b3dc
hexf14a4bc

253011132 has 72 divisors (see below), whose sum is σ = 728058240. Its totient is φ = 73333920.

The previous prime is 253011131. The next prime is 253011133. The reversal of 253011132 is 231110352.

253011132 is a `hidden beast` number, since 2 + 530 + 1 + 1 + 132 = 666.

253011132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253011131) and next prime (253011133).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253011131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4782 + ... + 22997.

It is an arithmetic number, because the mean of its divisors is an integer number (10111920).

Almost surely, 2253011132 is an apocalyptic number.

253011132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253011132 is an abundant number, since it is smaller than the sum of its proper divisors (475047108).

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

253011132 is a wasteful number, since it uses less digits than its factorization.

253011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823 (or 27818 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 253011132 is about 15906.3236481596. The cubic root of 253011132 is about 632.4796304376.

Adding to 253011132 its reverse (231110352), we get a palindrome (484121484).

The spelling of 253011132 in words is "two hundred fifty-three million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 27779 55558 83337 111116 166674 250011 305569 333348 500022 611138 638917 916707 1000044 1222276 1277834 1833414 1916751 2555668 2750121 3666828 3833502 5500242 5750253 7028087 7667004 11000484 11500506 14056174 21084261 23001012 28112348 42168522 63252783 84337044 126505566 253011132