Search a number
-
+
251113140 = 223251395073
BaseRepresentation
bin11101111011110…
…10111010110100
3122111111212110200
432331322322310
51003241110030
640530120500
76136266165
oct1675727264
9574455420
10251113140
11119824023
1270120130
1340042275
14254c976c
15170a3d60
hexef7aeb4

251113140 has 36 divisors (see below), whose sum is σ = 761710404. Its totient is φ = 66963456.

The previous prime is 251113129. The next prime is 251113141. The reversal of 251113140 is 41311152.

251113140 is a `hidden beast` number, since 2 + 511 + 13 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88397604 + 162715536 = 9402^2 + 12756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2511131403 (a number of 26 digits) contains 333 as substring.

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 (251113141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697357 + ... + 697716.

Almost surely, 2251113140 is an apocalyptic number.

251113140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251113140 is an abundant number, since it is smaller than the sum of its proper divisors (510597264).

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

251113140 is a wasteful number, since it uses less digits than its factorization.

251113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395088 (or 1395083 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 251113140 is about 15846.5497822081. The cubic root of 251113140 is about 630.8941196982.

Adding to 251113140 its reverse (41311152), we get a palindrome (292424292).

It can be divided in two parts, 2511 and 13140, that added together give a palindrome (15651).

The spelling of 251113140 in words is "two hundred fifty-one million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1395073 2790146 4185219 5580292 6975365 8370438 12555657 13950730 16740876 20926095 25111314 27901460 41852190 50222628 62778285 83704380 125556570 251113140