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13349616 = 243767593
BaseRepresentation
bin110010111011…
…001011110000
3221010020020020
4302323023300
511404141431
61154043440
7221320110
oct62731360
927106206
1013349616
117598845
124579580
1329c53a7
141ab7040
15128a696
hexcbb2f0

13349616 has 80 divisors (see below), whose sum is σ = 40068864. Its totient is φ = 3750912.

The previous prime is 13349597. The next prime is 13349621. The reversal of 13349616 is 61694331.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22216 + ... + 22808.

Almost surely, 213349616 is an apocalyptic number.

13349616 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 13349616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432).

13349616 is an abundant number, since it is smaller than the sum of its proper divisors (26719248).

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

13349616 is a wasteful number, since it uses less digits than its factorization.

13349616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 13349616 is about 3653.7126323782. The cubic root of 13349616 is about 237.2227072135. Note that the first 3 decimals are identical.

The spelling of 13349616 in words is "thirteen million, three hundred forty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 593 804 938 1072 1186 1407 1608 1779 1876 2372 2814 3216 3558 3752 4151 4744 5628 7116 7504 8302 9488 11256 12453 14232 16604 22512 24906 28464 33208 39731 49812 66416 79462 99624 119193 158924 199248 238386 278117 317848 476772 556234 635696 834351 953544 1112468 1668702 1907088 2224936 3337404 4449872 6674808 13349616