Search a number
-
+
27706340 = 2253737441
BaseRepresentation
bin110100110110…
…0001111100100
31221010121221202
41221230033210
524043100330
62425502032
7454333334
oct151541744
957117852
1027706340
1114704202
129341918
135980cac
1439730c4
152674445
hex1a6c3e4

27706340 has 24 divisors (see below), whose sum is σ = 59757432. Its totient is φ = 10782720.

The previous prime is 27706331. The next prime is 27706361. The reversal of 27706340 is 4360772.

It can be written as a sum of positive squares in 4 ways, for example, as 7974976 + 19731364 = 2824^2 + 4442^2 .

It is an unprimeable number.

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, 17981 + ... + 19460.

It is an arithmetic number, because the mean of its divisors is an integer number (2489893).

Almost surely, 227706340 is an apocalyptic number.

27706340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27706340 is an abundant number, since it is smaller than the sum of its proper divisors (32051092).

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

27706340 is a wasteful number, since it uses less digits than its factorization.

27706340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37487 (or 37485 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 27706340 is about 5263.6812213507. The cubic root of 27706340 is about 302.5935871440.

The spelling of 27706340 in words is "twenty-seven million, seven hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 37441 74882 149764 187205 374410 748820 1385317 2770634 5541268 6926585 13853170 27706340