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11168416 = 25773683
BaseRepresentation
bin101010100110…
…101010100000
3210000102012001
4222212222200
510324342131
61035213344
7163633660
oct52465240
923012161
1011168416
116338aa6
1238a7254
13241063c
1416aa1a0
15ea9261
hexaa6aa0

11168416 has 48 divisors (see below), whose sum is σ = 25510464. Its totient is φ = 4713984.

The previous prime is 11168411. The next prime is 11168419. The reversal of 11168416 is 61486111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11168411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16011 + ... + 16693.

It is an arithmetic number, because the mean of its divisors is an integer number (531468).

Almost surely, 211168416 is an apocalyptic number.

11168416 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 11168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232).

11168416 is an abundant number, since it is smaller than the sum of its proper divisors (14342048).

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

11168416 is an equidigital number, since it uses as much as digits as its factorization.

11168416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 11168416 is about 3341.9180121601. The cubic root of 11168416 is about 223.5272768902.

The spelling of 11168416 in words is "eleven million, one hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 683 1022 1168 1366 2044 2336 2732 4088 4781 5464 8176 9562 10928 16352 19124 21856 38248 49859 76496 99718 152992 199436 349013 398872 698026 797744 1396052 1595488 2792104 5584208 11168416