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11341296 = 24352917
BaseRepresentation
bin101011010000…
…110111110000
3210100012100000
4223100313300
510400410141
61043030000
7165254001
oct53206760
923305300
1011341296
11644697a
12396b300
132471235
1417131a8
15ee05b6
hexad0df0

11341296 has 60 divisors (see below), whose sum is σ = 32926712. Its totient is φ = 3779136.

The previous prime is 11341289. The next prime is 11341301. The reversal of 11341296 is 69214311.

11341296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2430 + ... + 5346.

Almost surely, 211341296 is an apocalyptic number.

11341296 is a gapful number since it is divisible by the number (16) 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 11341296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463356).

11341296 is an abundant number, since it is smaller than the sum of its proper divisors (21585416).

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

11341296 is an equidigital number, since it uses as much as digits as its factorization.

11341296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2922 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11341296 is about 3367.6840706931. The cubic root of 11341296 is about 224.6747300018.

The spelling of 11341296 in words is "eleven million, three hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 2917 3888 5834 8751 11668 17502 23336 26253 35004 46672 52506 70008 78759 105012 140016 157518 210024 236277 315036 420048 472554 630072 708831 945108 1260144 1417662 1890216 2835324 3780432 5670648 11341296