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11831664 = 2431367283
BaseRepresentation
bin101101001000…
…100101110000
3211021002222210
4231020211300
511012103124
61101332120
7202365435
oct55104560
924232883
1011831664
116751339
123b67040
1325b34b0
1417ddb8c
15108aa29
hexb48970

11831664 has 80 divisors (see below), whose sum is σ = 33525632. Its totient is φ = 3573504.

The previous prime is 11831663. The next prime is 11831669. The reversal of 11831664 is 46613811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11831663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41667 + ... + 41949.

Almost surely, 211831664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11831664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762816).

11831664 is an abundant number, since it is smaller than the sum of its proper divisors (21693968).

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

11831664 is a wasteful number, since it uses less digits than its factorization.

11831664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11831664 is about 3439.7185931410. The cubic root of 11831664 is about 227.8672665404.

The spelling of 11831664 in words is "eleven million, eight hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 283 312 402 536 566 624 804 849 871 1072 1132 1608 1698 1742 2264 2613 3216 3396 3484 3679 4528 5226 6792 6968 7358 10452 11037 13584 13936 14716 18961 20904 22074 29432 37922 41808 44148 56883 58864 75844 88296 113766 151688 176592 227532 246493 303376 455064 492986 739479 910128 985972 1478958 1971944 2957916 3943888 5915832 11831664