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11142016 = 27611427
BaseRepresentation
bin101010100000…
…001110000000
3202222001222021
4222200032000
510323021031
61034451224
7163464004
oct52401600
922861867
1011142016
116320186
123893b14
132401612
1416a0704
15ea1511
hexaa0380

11142016 has 32 divisors (see below), whose sum is σ = 22576680. Its totient is φ = 5475840.

The previous prime is 11142013. The next prime is 11142029. The reversal of 11142016 is 61024111.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7095 + ... + 8521.

Almost surely, 211142016 is an apocalyptic number.

11142016 is a gapful number since it is divisible by the number (16) 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 11142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11288340).

11142016 is an abundant number, since it is smaller than the sum of its proper divisors (11434664).

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

11142016 is an equidigital number, since it uses as much as digits as its factorization.

11142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11142016 is about 3337.9658476383. The cubic root of 11142016 is about 223.3510126843.

Adding to 11142016 its reverse (61024111), we get a palindrome (72166127).

The spelling of 11142016 in words is "eleven million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1427 1952 2854 3904 5708 7808 11416 22832 45664 87047 91328 174094 182656 348188 696376 1392752 2785504 5571008 11142016