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11640852 = 22321723827
BaseRepresentation
bin101100011010…
…000000010100
3210220102020200
4230122000110
510440001402
61053300500
7200642226
oct54320024
923812220
1011640852
116630a43
123a94730
1325476a2
141790416
15104e21c
hexb1a014

11640852 has 72 divisors (see below), whose sum is σ = 32550336. Its totient is φ = 3489024.

The previous prime is 11640847. The next prime is 11640857. The reversal of 11640852 is 25804611.

11640852 is a `hidden beast` number, since 11 + 640 + 8 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11640847) and next prime (11640857).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13663 + ... + 14489.

It is an arithmetic number, because the mean of its divisors is an integer number (452088).

Almost surely, 211640852 is an apocalyptic number.

11640852 is a gapful number since it is divisible by the number (12) 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 11640852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275168).

11640852 is an abundant number, since it is smaller than the sum of its proper divisors (20909484).

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

11640852 is a wasteful number, since it uses less digits than its factorization.

11640852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11640852 is about 3411.8692823729. The cubic root of 11640852 is about 226.6356656949.

The spelling of 11640852 in words is "eleven million, six hundred forty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 827 828 1173 1564 1654 2346 2481 3308 3519 4692 4962 7038 7443 9924 14059 14076 14886 19021 28118 29772 38042 42177 56236 57063 76084 84354 114126 126531 168708 171189 228252 253062 323357 342378 506124 646714 684756 970071 1293428 1940142 2910213 3880284 5820426 11640852