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27097950 = 23521121493
BaseRepresentation
bin110011101011…
…1101101011110
31212222201101210
41213113231132
523414113300
62404445250
7446220525
oct147275536
955881353
1027097950
1114329100
1290a9826
1357ca0b9
1438554bc
1525a4050
hex19d7b5e

27097950 has 72 divisors (see below), whose sum is σ = 73917144. Its totient is φ = 6564800.

The previous prime is 27097927. The next prime is 27097951. The reversal of 27097950 is 5979072.

It is a junction number, because it is equal to n+sod(n) for n = 27097899 and 27097908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27097951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17404 + ... + 18896.

It is an arithmetic number, because the mean of its divisors is an integer number (1026627).

Almost surely, 227097950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27097950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36958572).

27097950 is an abundant number, since it is smaller than the sum of its proper divisors (46819194).

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

27097950 is a wasteful number, since it uses less digits than its factorization.

27097950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 27097950 is about 5205.5691331496. The cubic root of 27097950 is about 300.3623399674.

The spelling of 27097950 in words is "twenty-seven million, ninety-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1493 1650 1815 2986 3025 3630 4479 6050 7465 8958 9075 14930 16423 18150 22395 32846 37325 44790 49269 74650 82115 98538 111975 164230 180653 223950 246345 361306 410575 492690 541959 821150 903265 1083918 1231725 1806530 2463450 2709795 4516325 5419590 9032650 13548975 27097950