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11464640 = 265113257
BaseRepresentation
bin101011101110…
…111111000000
3210120110112022
4223232333000
510413332030
61045421012
7166306415
oct53567700
923513468
1011464640
116520610
123a0a768
1324b5415
14174610c
151016de5
hexaeefc0

11464640 has 56 divisors (see below), whose sum is σ = 29791152. Its totient is φ = 4167680.

The previous prime is 11464631. The next prime is 11464643. The reversal of 11464640 is 4646411.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11464643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1892 + ... + 5148.

Almost surely, 211464640 is an apocalyptic number.

11464640 is a gapful number since it is divisible by the number (10) 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 11464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895576).

11464640 is an abundant number, since it is smaller than the sum of its proper divisors (18326512).

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

11464640 is a wasteful number, since it uses less digits than its factorization.

11464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 11464640 is about 3385.9474301885. The cubic root of 11464640 is about 225.4862897943.

It can be divided in two parts, 1 and 1464640, that added together give a palindrome (1464641).

The spelling of 11464640 in words is "eleven million, four hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3257 3520 6514 13028 16285 26056 32570 35827 52112 65140 71654 104224 130280 143308 179135 208448 260560 286616 358270 521120 573232 716540 1042240 1146464 1433080 2292928 2866160 5732320 11464640