Search a number
-
+
11345124 = 22371311031
BaseRepresentation
bin101011010001…
…110011100100
3210100101120210
4223101303210
510401020444
61043055420
7165301110
oct53216344
923311523
1011345124
11644983a
123971570
132472bbb
141714740
15ee17b9
hexad1ce4

11345124 has 48 divisors (see below), whose sum is σ = 30514176. Its totient is φ = 3213600.

The previous prime is 11345093. The next prime is 11345143. The reversal of 11345124 is 42154311.

11345124 is digitally balanced in base 2 and base 4, because in such bases 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11345124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10489 + ... + 11519.

It is an arithmetic number, because the mean of its divisors is an integer number (635712).

Almost surely, 211345124 is an apocalyptic number.

11345124 is a gapful number since it is divisible by the number (14) 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 11345124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257088).

11345124 is an abundant number, since it is smaller than the sum of its proper divisors (19169052).

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

11345124 is a wasteful number, since it uses less digits than its factorization.

11345124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1174 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 11345124 is about 3368.2523658420. The cubic root of 11345124 is about 224.7000051297.

Adding to 11345124 its reverse (42154311), we get a palindrome (53499435).

The spelling of 11345124 in words is "eleven million, three hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1031 1572 1834 2062 2751 3093 3668 4124 5502 6186 7217 11004 12372 14434 21651 28868 43302 86604 135061 270122 405183 540244 810366 945427 1620732 1890854 2836281 3781708 5672562 11345124