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11741664 = 2531111119
BaseRepresentation
bin101100110010…
…100111100000
3211002112112110
4230302213200
511001213124
61055355320
7201542154
oct54624740
924075473
1011741664
11669a760
123b22b40
13258153c
1417b9064
15106e029
hexb329e0

11741664 has 48 divisors (see below), whose sum is σ = 33626880. Its totient is φ = 3557760.

The previous prime is 11741663. The next prime is 11741687. The reversal of 11741664 is 46614711.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11741663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4504 + ... + 6615.

It is an arithmetic number, because the mean of its divisors is an integer number (700560).

Almost surely, 211741664 is an apocalyptic number.

It is an amenable number.

11741664 is an abundant number, since it is smaller than the sum of its proper divisors (21885216).

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

11741664 is a wasteful number, since it uses less digits than its factorization.

11741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11143 (or 11135 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11741664 is about 3426.6111538953. The cubic root of 11741664 is about 227.2880221658.

The spelling of 11741664 in words is "eleven million, seven hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11119 22238 33357 44476 66714 88952 122309 133428 177904 244618 266856 355808 366927 489236 533712 733854 978472 1067424 1467708 1956944 2935416 3913888 5870832 11741664