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11412016 = 2471159157
BaseRepresentation
bin101011100010…
…001000110000
3210110210100021
4223202020300
510410141031
61044333224
7166000120
oct53421060
923423307
1011412016
116495020
1239a4214
132497495
141730c80
151006511
hexae2230

11412016 has 80 divisors (see below), whose sum is σ = 28212480. Its totient is φ = 4343040.

The previous prime is 11412001. The next prime is 11412019. The reversal of 11412016 is 61021411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72610 + ... + 72766.

It is an arithmetic number, because the mean of its divisors is an integer number (352656).

Almost surely, 211412016 is an apocalyptic number.

11412016 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 11412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106240).

11412016 is an abundant number, since it is smaller than the sum of its proper divisors (16800464).

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

11412016 is a wasteful number, since it uses less digits than its factorization.

11412016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

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

The square root of 11412016 is about 3378.1675506108. The cubic root of 11412016 is about 225.1407580152.

Adding to 11412016 its reverse (61021411), we get a palindrome (72433427).

The spelling of 11412016 in words is "eleven million, four hundred twelve thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 154 157 176 236 308 314 413 472 616 628 649 826 944 1099 1232 1256 1298 1652 1727 2198 2512 2596 3304 3454 4396 4543 5192 6608 6908 8792 9086 9263 10384 12089 13816 17584 18172 18526 24178 27632 36344 37052 48356 64841 72688 74104 96712 101893 129682 148208 193424 203786 259364 407572 518728 713251 815144 1037456 1426502 1630288 2853004 5706008 11412016