Search a number
-
+
27481480 = 23513411289
BaseRepresentation
bin110100011010…
…1010110001000
31220201012111121
41220311112020
524013401410
62421005024
7452405635
oct150652610
956635447
1027481480
1114570274
129253774
135902840
14391518c
15262c9da
hex1a35588

27481480 has 64 divisors (see below), whose sum is σ = 68266800. Its totient is φ = 9891840.

The previous prime is 27481453. The next prime is 27481499. The reversal of 27481480 is 8418472.

It can be written as a sum of positive squares in 8 ways, for example, as 4268356 + 23213124 = 2066^2 + 4818^2 .

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, 20676 + ... + 21964.

Almost surely, 227481480 is an apocalyptic number.

27481480 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 27481480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34133400).

27481480 is an abundant number, since it is smaller than the sum of its proper divisors (40785320).

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

27481480 is a wasteful number, since it uses less digits than its factorization.

27481480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 27481480 is about 5242.2781307367. The cubic root of 27481480 is about 301.7727629962.

The spelling of 27481480 in words is "twenty-seven million, four hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1289 1640 2132 2578 2665 4264 5156 5330 6445 10312 10660 12890 16757 21320 25780 33514 51560 52849 67028 83785 105698 134056 167570 211396 264245 335140 422792 528490 670280 687037 1056980 1374074 2113960 2748148 3435185 5496296 6870370 13740740 27481480