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11400016 = 242979311
BaseRepresentation
bin101011011111…
…001101010000
3210110011212211
4223133031100
510404300031
61044201504
7165620125
oct53371520
923404784
1011400016
116487001
123999294
132491b94
14172a74c
151002bb1
hexadf350

11400016 has 40 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 5416320.

The previous prime is 11399989. The next prime is 11400017. The reversal of 11400016 is 61000411.

It is a junction number, because it is equal to n+sod(n) for n = 11399969 and 11400005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400017) by changing a digit.

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, 36501 + ... + 36811.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 211400016 is an apocalyptic number.

11400016 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 11400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

11400016 is an abundant number, since it is smaller than the sum of its proper divisors (11812784).

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

11400016 is a wasteful number, since it uses less digits than its factorization.

11400016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

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

The square root of 11400016 is about 3376.3909726215. The cubic root of 11400016 is about 225.0618167597.

Adding to 11400016 its reverse (61000411), we get a palindrome (72400427).

The spelling of 11400016 in words is "eleven million, four hundred thousand, sixteen".

Divisors: 1 2 4 8 16 29 58 79 116 158 232 311 316 464 622 632 1244 1264 2291 2488 4582 4976 9019 9164 18038 18328 24569 36076 36656 49138 72152 98276 144304 196552 393104 712501 1425002 2850004 5700008 11400016