Search a number
-
+
27161460 = 22335179281
BaseRepresentation
bin110011110011…
…1001101110100
31220002221112000
41213213031310
523423131320
62410055300
7446603634
oct147471564
956087460
1027161460
1114371897
12911a530
13581cc91
1438706c4
1525b7c90
hex19e7374

27161460 has 96 divisors (see below), whose sum is σ = 85276800. Its totient is φ = 7176960.

The previous prime is 27161443. The next prime is 27161473. The reversal of 27161460 is 6416172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96520 + ... + 96800.

It is an arithmetic number, because the mean of its divisors is an integer number (888300).

Almost surely, 227161460 is an apocalyptic number.

27161460 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 27161460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42638400).

27161460 is an abundant number, since it is smaller than the sum of its proper divisors (58115340).

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

27161460 is a wasteful number, since it uses less digits than its factorization.

27161460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27161460 is about 5211.6657605798. The cubic root of 27161460 is about 300.5968119311.

The spelling of 27161460 in words is "twenty-seven million, one hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 281 358 537 540 562 716 843 895 1074 1124 1405 1611 1686 1790 2148 2529 2685 2810 3222 3372 3580 4215 4833 5058 5370 5620 6444 7587 8055 8430 9666 10116 10740 12645 15174 16110 16860 19332 24165 25290 30348 32220 37935 48330 50299 50580 75870 96660 100598 150897 151740 201196 251495 301794 452691 502990 603588 754485 905382 1005980 1358073 1508970 1810764 2263455 2716146 3017940 4526910 5432292 6790365 9053820 13580730 27161460