Search a number
-
+
27973000 = 2353112543
BaseRepresentation
bin110101010110…
…1010110001000
31221122011202001
41222231112020
524130114000
62435320344
7456523636
oct152552610
957564661
1027973000
1114876590
1294500b4
135a45493
143a02356
1526c846a
hex1aad588

27973000 has 64 divisors (see below), whose sum is σ = 71435520. Its totient is φ = 10168000.

The previous prime is 27972979. The next prime is 27973013. The reversal of 27973000 is 37972.

It is a happy number.

It is a super-4 number, since 4×279730004 (a number of 31 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27973000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9729 + ... + 12271.

It is an arithmetic number, because the mean of its divisors is an integer number (1116180).

Almost surely, 227973000 is an apocalyptic number.

27973000 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 27973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35717760).

27973000 is an abundant number, since it is smaller than the sum of its proper divisors (43462520).

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

27973000 is a wasteful number, since it uses less digits than its factorization.

27973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 27973000 is about 5288.9507466037. The cubic root of 27973000 is about 303.5612611523.

The spelling of 27973000 in words is "twenty-seven million, nine hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2543 2750 5086 5500 10172 11000 12715 20344 25430 27973 50860 55946 63575 101720 111892 127150 139865 223784 254300 279730 317875 508600 559460 635750 699325 1118920 1271500 1398650 2543000 2797300 3496625 5594600 6993250 13986500 27973000