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27242040 = 23357241113
BaseRepresentation
bin110011111101…
…0111000111000
31220021001001110
41213322320320
523433221130
62411520320
7450360600
oct147727070
956231043
1027242040
1114417391
1291590a0
13584a867
143891c00
1525d1ab0
hex19fae38

27242040 has 192 divisors, whose sum is σ = 98249760. Its totient is φ = 6021120.

The previous prime is 27242021. The next prime is 27242071. The reversal of 27242040 is 4024272.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 27241998 and 27242016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241024 + ... + 241136.

Almost surely, 227242040 is an apocalyptic number.

27242040 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 27242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49124880).

27242040 is an abundant number, since it is smaller than the sum of its proper divisors (71007720).

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

27242040 is a wasteful number, since it uses less digits than its factorization.

27242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 27242040 is about 5219.3907690458. The cubic root of 27242040 is about 300.8937789971.

The spelling of 27242040 in words is "twenty-seven million, two hundred forty-two thousand, forty".