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61053240 = 23352512027
BaseRepresentation
bin1110100011100…
…1100100111000
311020212211022010
43220321210320
5111112200430
610020325520
71340641533
oct350714470
9136784263
1061053240
1131510226
12185438a0
13c8584a1
148173a1a
15555ecb0
hex3a39938

61053240 has 64 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 16208000.

The previous prime is 61053221. The next prime is 61053241. The reversal of 61053240 is 4235016.

It is a happy number.

61053240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×610532402 = 7454996228995200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61053241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29107 + ... + 31133.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 261053240 is an apocalyptic number.

61053240 is a gapful number since it is divisible by the number (60) 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 61053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

61053240 is an abundant number, since it is smaller than the sum of its proper divisors (122926920).

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

61053240 is a wasteful number, since it uses less digits than its factorization.

61053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 61053240 is about 7813.6572742858. The cubic root of 61053240 is about 393.7642091118.

Adding to 61053240 its reverse (4235016), we get a palindrome (65288256).

The spelling of 61053240 in words is "sixty-one million, fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 2008 2027 2510 3012 3765 4054 5020 6024 6081 7530 8108 10040 10135 12162 15060 16216 20270 24324 30120 30405 40540 48648 60810 81080 121620 243240 508777 1017554 1526331 2035108 2543885 3052662 4070216 5087770 6105324 7631655 10175540 12210648 15263310 20351080 30526620 61053240