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11106004 = 2271322347
BaseRepresentation
bin101010010111…
…011011010100
3202220020120111
4222113123110
510320343004
61034012404
7163254010
oct52273324
922806514
1011106004
1162a6118
123877104
1323bb100
141691540
15e95a04
hexa976d4

11106004 has 36 divisors (see below), whose sum is σ = 24062304. Its totient is φ = 4391712.

The previous prime is 11105923. The next prime is 11106037. The reversal of 11106004 is 40060111.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 11 ways as a sum of consecutive naturals, for example, 3559 + ... + 5905.

Almost surely, 211106004 is an apocalyptic number.

11106004 is a gapful number since it is divisible by the number (14) 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 11106004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031152).

11106004 is an abundant number, since it is smaller than the sum of its proper divisors (12956300).

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

11106004 is a wasteful number, since it uses less digits than its factorization.

11106004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11106004 is about 3332.5671786177. The cubic root of 11106004 is about 223.1101227700.

Adding to 11106004 its reverse (40060111), we get a palindrome (51166115).

The spelling of 11106004 in words is "eleven million, one hundred six thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2347 2366 4694 4732 9388 16429 30511 32858 61022 65716 122044 213577 396643 427154 793286 854308 1586572 2776501 5553002 11106004