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27889340 = 22519233191
BaseRepresentation
bin110101001100…
…0111010111100
31221110220222112
41222120322330
524114424330
62433433152
7456025013
oct152307274
957426875
1027889340
1114819746
12940b7b8
135a1638b
1439bda7a
1526ad795
hex1a98ebc

27889340 has 48 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 10105920.

The previous prime is 27889319. The next prime is 27889349. The reversal of 27889340 is 4398872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27889349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7145 + ... + 10335.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 227889340 is an apocalyptic number.

27889340 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 27889340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

27889340 is an abundant number, since it is smaller than the sum of its proper divisors (36461380).

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

27889340 is a wasteful number, since it uses less digits than its factorization.

27889340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 27889340 is about 5281.0358832335. The cubic root of 27889340 is about 303.2583345825.

The spelling of 27889340 in words is "twenty-seven million, eight hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 3191 4370 6382 8740 12764 15955 31910 60629 63820 73393 121258 146786 242516 293572 303145 366965 606290 733930 1212580 1394467 1467860 2788934 5577868 6972335 13944670 27889340