Search a number
-
+
27939040 = 255414259
BaseRepresentation
bin110101010010…
…1000011100000
31221120110011021
41222211003200
524123022130
62434455224
7456322633
oct152450340
957513137
1027939040
1114853018
129434514
135a32b9c
1439d3c1a
1526bd37a
hex1aa50e0

27939040 has 48 divisors (see below), whose sum is σ = 67631760. Its totient is φ = 10900480.

The previous prime is 27939031. The next prime is 27939047. The reversal of 27939040 is 4093972.

It is a super-2 number, since 2×279390402 = 1561179912243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27938987 and 27939005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27939047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4431 + ... + 8689.

It is an arithmetic number, because the mean of its divisors is an integer number (1408995).

Almost surely, 227939040 is an apocalyptic number.

27939040 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 27939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33815880).

27939040 is an abundant number, since it is smaller than the sum of its proper divisors (39692720).

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

27939040 is a wasteful number, since it uses less digits than its factorization.

27939040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 27939040 is about 5285.7393049601. The cubic root of 27939040 is about 303.4383674688.

The spelling of 27939040 in words is "twenty-seven million, nine hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 4259 6560 8518 17036 21295 34072 42590 68144 85180 136288 170360 174619 340720 349238 681440 698476 873095 1396952 1746190 2793904 3492380 5587808 6984760 13969520 27939040