Search a number
-
+
27568080 = 2433512763
BaseRepresentation
bin110100100101…
…0011111010000
31220212121022000
41221022133100
524024134310
62422514000
7453216261
oct151123720
956777260
1027568080
111461a341
129295900
135933097
143938968
1526484c0
hex1a4a7d0

27568080 has 80 divisors (see below), whose sum is σ = 94964160. Its totient is φ = 7350912.

The previous prime is 27568063. The next prime is 27568087. The reversal of 27568080 is 8086572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27568087) 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, 4222 + ... + 8541.

It is an arithmetic number, because the mean of its divisors is an integer number (1187052).

Almost surely, 227568080 is an apocalyptic number.

27568080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27568080 is an abundant number, since it is smaller than the sum of its proper divisors (67396080).

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

27568080 is a wasteful number, since it uses less digits than its factorization.

27568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12785 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 27568080 is about 5250.5314016774. The cubic root of 27568080 is about 302.0894140459.

The spelling of 27568080 in words is "twenty-seven million, five hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 12763 25526 38289 51052 63815 76578 102104 114867 127630 153156 191445 204208 229734 255260 306312 344601 382890 459468 510520 574335 612624 689202 765780 918936 1021040 1148670 1378404 1531560 1723005 1837872 2297340 2756808 3063120 3446010 4594680 5513616 6892020 9189360 13784040 27568080