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11602016 = 253741239
BaseRepresentation
bin101100010000…
…100001100000
3210211102222022
4230100201200
510432231031
61052401012
7200421056
oct54204140
923742868
1011602016
116604848
123a76168
132532aca
1417801d6
15104297b
hexb10860

11602016 has 48 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 5483520.

The previous prime is 11602013. The next prime is 11602037. The reversal of 11602016 is 61020611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11601985 and 11602003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11602013) 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 7 ways as a sum of consecutive naturals, for example, 48425 + ... + 48663.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 211602016 is an apocalyptic number.

11602016 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 11602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

11602016 is an abundant number, since it is smaller than the sum of its proper divisors (12529504).

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

11602016 is a wasteful number, since it uses less digits than its factorization.

11602016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 11602016 is about 3406.1732193181. The cubic root of 11602016 is about 226.3833522951.

Adding to 11602016 its reverse (61020611), we get a palindrome (72622627).

The spelling of 11602016 in words is "eleven million, six hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 239 296 328 478 592 656 956 1184 1312 1517 1912 3034 3824 6068 7648 8843 9799 12136 17686 19598 24272 35372 39196 48544 70744 78392 141488 156784 282976 313568 362563 725126 1450252 2900504 5801008 11602016