Search a number
-
+
27718040 = 235798993
BaseRepresentation
bin110100110111…
…1000110011000
31221011020000002
41221233012120
524043434130
62430032132
7454412420
oct151570630
957136002
1027718040
1114711a79
129348648
13598640c
143977480
152677b45
hex1a6f198

27718040 has 32 divisors (see below), whose sum is σ = 71275680. Its totient is φ = 9503232.

The previous prime is 27718039. The next prime is 27718049. The reversal of 27718040 is 4081772.

It is a junction number, because it is equal to n+sod(n) for n = 27717994 and 27718012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27718049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49217 + ... + 49776.

It is an arithmetic number, because the mean of its divisors is an integer number (2227365).

Almost surely, 227718040 is an apocalyptic number.

27718040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27718040 is an abundant number, since it is smaller than the sum of its proper divisors (43557640).

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

27718040 is a wasteful number, since it uses less digits than its factorization.

27718040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99011 (or 99007 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 27718040 is about 5264.7924935367. The cubic root of 27718040 is about 302.6361748302.

The spelling of 27718040 in words is "twenty-seven million, seven hundred eighteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 98993 197986 395972 494965 692951 791944 989930 1385902 1979860 2771804 3464755 3959720 5543608 6929510 13859020 27718040