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11402112 = 273231291
BaseRepresentation
bin101011011111…
…101110000000
3210110021202110
4223133232000
510404331422
61044215320
7165626211
oct53375600
923407673
1011402112
116488637
12399a540
132492b17
14172b408
15100360c
hexadfb80

11402112 has 64 divisors (see below), whose sum is σ = 31628160. Its totient is φ = 3632640.

The previous prime is 11402107. The next prime is 11402113. The reversal of 11402112 is 21120411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11402113) 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, 8187 + ... + 9477.

It is an arithmetic number, because the mean of its divisors is an integer number (494190).

Almost surely, 211402112 is an apocalyptic number.

11402112 is a gapful number since it is divisible by the number (12) 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 11402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814080).

11402112 is an abundant number, since it is smaller than the sum of its proper divisors (20226048).

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

11402112 is a wasteful number, since it uses less digits than its factorization.

11402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11402112 is about 3376.7013489499. The cubic root of 11402112 is about 225.0756091573.

Adding to 11402112 its reverse (21120411), we get a palindrome (32522523).

The spelling of 11402112 in words is "eleven million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1291 1472 2208 2582 2944 3873 4416 5164 7746 8832 10328 15492 20656 29693 30984 41312 59386 61968 82624 89079 118772 123936 165248 178158 237544 247872 356316 475088 495744 712632 950176 1425264 1900352 2850528 3800704 5701056 11402112