[go: up one dir, main page]

Search a number
-
+
11364276 = 2237311251
BaseRepresentation
bin101011010110…
…011110110100
3210101100212010
4223112132310
510402124101
61043324220
7165411000
oct53263664
923340763
1011364276
116462170
123980670
13247b831
14171b700
15ee72d6
hexad67b4

11364276 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2940000.

The previous prime is 11364263. The next prime is 11364281. The reversal of 11364276 is 67246311.

It is a nude number because it is divisible by every one of its digits.

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, 45151 + ... + 45401.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 211364276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11364276 is an abundant number, since it is smaller than the sum of its proper divisors (22504524).

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

11364276 is a wasteful number, since it uses less digits than its factorization.

11364276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 11364276 is about 3371.0941843858. The cubic root of 11364276 is about 224.8263746953.

The spelling of 11364276 in words is "eleven million, three hundred sixty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 251 294 308 343 462 502 539 588 686 753 924 1004 1029 1078 1372 1506 1617 1757 2058 2156 2761 3012 3234 3514 3773 4116 5271 5522 6468 7028 7546 8283 10542 11044 11319 12299 15092 16566 19327 21084 22638 24598 33132 36897 38654 45276 49196 57981 73794 77308 86093 115962 135289 147588 172186 231924 258279 270578 344372 405867 516558 541156 811734 947023 1033116 1623468 1894046 2841069 3788092 5682138 11364276