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11401216 = 21119293
BaseRepresentation
bin101011011111…
…100000000000
3210110020112021
4223133200000
510404314331
61044211224
7165623461
oct53374000
923406467
1011401216
1164879a2
123999b14
1324925a8
14172ad68
151003211
hexadf800

11401216 has 48 divisors (see below), whose sum is σ = 24078600. Its totient is φ = 5382144.

The previous prime is 11401207. The next prime is 11401231. The reversal of 11401216 is 61210411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11401216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38766 + ... + 39058.

Almost surely, 211401216 is an apocalyptic number.

11401216 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 11401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039300).

11401216 is an abundant number, since it is smaller than the sum of its proper divisors (12677384).

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

11401216 is an equidigital number, since it uses as much as digits as its factorization.

11401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

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

The square root of 11401216 is about 3376.5686724839. The cubic root of 11401216 is about 225.0697133774.

Adding to 11401216 its reverse (61210411), we get a palindrome (72611627).

The spelling of 11401216 in words is "eleven million, four hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 293 304 512 586 608 1024 1172 1216 2048 2344 2432 4688 4864 5567 9376 9728 11134 18752 19456 22268 37504 38912 44536 75008 89072 150016 178144 300032 356288 600064 712576 1425152 2850304 5700608 11401216