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11288664 = 2332831889
BaseRepresentation
bin101011000100…
…000001011000
3210020112010200
4223010001120
510342214124
61041542200
7164644362
oct53040130
923215120
1011288664
116410382
123944960
1324532aa
1416dbd32
15ecebc9
hexac4058

11288664 has 48 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 3715584.

The previous prime is 11288633. The next prime is 11288677. The reversal of 11288664 is 46688211.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5032 + ... + 6920.

Almost surely, 211288664 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 11288664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

11288664 is an abundant number, since it is smaller than the sum of its proper divisors (19669536).

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

11288664 is a wasteful number, since it uses less digits than its factorization.

11288664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1977 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 11288664 is about 3359.8607113986. The cubic root of 11288664 is about 224.3266386823.

The spelling of 11288664 in words is "eleven million, two hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1889 1992 2988 3778 5667 5976 7556 11334 15112 17001 22668 34002 45336 68004 136008 156787 313574 470361 627148 940722 1254296 1411083 1881444 2822166 3762888 5644332 11288664