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13356112 = 2471137293
BaseRepresentation
bin110010111100…
…110001010000
3221010120010211
4302330301100
511404343422
61154133504
7221345050
oct62746120
927116124
1013356112
1175a2710
124581294
1329c8333
141ab9560
15128c577
hexcbcc50

13356112 has 80 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 5045760.

The previous prime is 13356103. The next prime is 13356121. The reversal of 13356112 is 21165331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13356103) and next prime (13356121).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45438 + ... + 45730.

Almost surely, 213356112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13356112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

13356112 is an abundant number, since it is smaller than the sum of its proper divisors (19891760).

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

13356112 is a wasteful number, since it uses less digits than its factorization.

13356112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 13356112 is about 3654.6014830621. The cubic root of 13356112 is about 237.2611789523.

It can be divided in two parts, 1335 and 6112, that added together give a palindrome (7447).

The spelling of 13356112 in words is "thirteen million, three hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 293 296 308 407 518 586 592 616 814 1036 1172 1232 1628 2051 2072 2344 2849 3223 3256 4102 4144 4688 5698 6446 6512 8204 10841 11396 12892 16408 21682 22561 22792 25784 32816 43364 45122 45584 51568 75887 86728 90244 119251 151774 173456 180488 238502 303548 360976 477004 607096 834757 954008 1214192 1669514 1908016 3339028 6678056 13356112