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11366964 = 22327431049
BaseRepresentation
bin101011010111…
…001000110100
3210101111112200
4223113020310
510402220324
61043344500
7165421560
oct53271064
923344480
1011366964
116464194
123982130
13247cb1b
14171c6a0
15ee7ec9
hexad7234

11366964 has 72 divisors (see below), whose sum is σ = 33633600. Its totient is φ = 3169152.

The previous prime is 11366947. The next prime is 11367047. The reversal of 11366964 is 46966311.

11366964 is digitally balanced in base 2, base 4 and base 8, 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 (36).

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

11366964 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10312 + ... + 11360.

Almost surely, 211366964 is an apocalyptic number.

11366964 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 11366964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816800).

11366964 is an abundant number, since it is smaller than the sum of its proper divisors (22266636).

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

11366964 is a wasteful number, since it uses less digits than its factorization.

11366964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1104 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 11366964 is about 3371.4928444237. The cubic root of 11366964 is about 224.8440994102.

It can be divided in two parts, 1136 and 6964, that added together give a square (8100 = 902).

The spelling of 11366964 in words is "eleven million, three hundred sixty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1049 1204 1548 1806 2098 2709 3147 3612 4196 5418 6294 7343 9441 10836 12588 14686 18882 22029 29372 37764 44058 45107 66087 88116 90214 132174 135321 180428 264348 270642 315749 405963 541284 631498 811926 947247 1262996 1623852 1894494 2841741 3788988 5683482 11366964