Search a number
-
+
27870040 = 2351197653
BaseRepresentation
bin110101001010…
…0001101011000
31221102221111201
41222110031120
524113320130
62433203544
7455614522
oct152241530
957387451
1027870040
11148061a0
1294005b4
135a0a663
1439b6a12
1526a7bca
hex1a94358

27870040 has 64 divisors (see below), whose sum is σ = 69219360. Its totient is φ = 10014720.

The previous prime is 27869983. The next prime is 27870053. The reversal of 27870040 is 4007872.

It is a junction number, because it is equal to n+sod(n) for n = 27869990 and 27870008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42354 + ... + 43006.

Almost surely, 227870040 is an apocalyptic number.

27870040 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 27870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34609680).

27870040 is an abundant number, since it is smaller than the sum of its proper divisors (41349320).

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

27870040 is a wasteful number, since it uses less digits than its factorization.

27870040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 27870040 is about 5279.2082739744. The cubic root of 27870040 is about 303.1883647603.

The spelling of 27870040 in words is "twenty-seven million, eight hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 653 776 970 1067 1306 1940 2134 2612 3265 3880 4268 5224 5335 6530 7183 8536 10670 13060 14366 21340 26120 28732 35915 42680 57464 63341 71830 126682 143660 253364 287320 316705 506728 633410 696751 1266820 1393502 2533640 2787004 3483755 5574008 6967510 13935020 27870040