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11116464 = 2431012293
BaseRepresentation
bin101010011001…
…111110110000
3202220202220220
4222121332300
510321211324
61034133040
7163326342
oct52317660
922822826
1011116464
116302a67
123881180
1323c2ab8
141695292
15e98b79
hexa99fb0

11116464 has 40 divisors (see below), whose sum is σ = 29014512. Its totient is φ = 3667200.

The previous prime is 11116451. The next prime is 11116471. The reversal of 11116464 is 46461111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3702 + ... + 5994.

Almost surely, 211116464 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 11116464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507256).

11116464 is an abundant number, since it is smaller than the sum of its proper divisors (17898048).

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

11116464 is a wasteful number, since it uses less digits than its factorization.

11116464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2399 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 11116464 is about 3334.1361699847. The cubic root of 11116464 is about 223.1801449431.

Adding to 11116464 its reverse (46461111), we get a palindrome (57577575).

The spelling of 11116464 in words is "eleven million, one hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2293 2424 4586 4848 6879 9172 13758 18344 27516 36688 55032 110064 231593 463186 694779 926372 1389558 1852744 2779116 3705488 5558232 11116464