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13020216 = 23311149331
BaseRepresentation
bin110001101010…
…110000111000
3220111111101020
4301222300320
511313121331
61143022440
7215445546
oct61526070
926444336
1013020216
117393310
12443aa20
13290b491
141a2cd96
151222c96
hexc6ac38

13020216 has 64 divisors (see below), whose sum is σ = 35856000. Its totient is φ = 3907200.

The previous prime is 13020211. The next prime is 13020223. The reversal of 13020216 is 61202031.

It is a junction number, because it is equal to n+sod(n) for n = 13020195 and 13020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020211) by changing a digit.

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, 39171 + ... + 39501.

It is an arithmetic number, because the mean of its divisors is an integer number (560250).

Almost surely, 213020216 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 13020216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17928000).

13020216 is an abundant number, since it is smaller than the sum of its proper divisors (22835784).

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

13020216 is a wasteful number, since it uses less digits than its factorization.

13020216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13020216 is about 3608.3536412054. The cubic root of 13020216 is about 235.2552891909.

Adding to 13020216 its reverse (61202031), we get a palindrome (74222247).

The spelling of 13020216 in words is "thirteen million, twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 331 447 596 662 894 993 1192 1324 1639 1788 1986 2648 3278 3576 3641 3972 4917 6556 7282 7944 9834 10923 13112 14564 19668 21846 29128 39336 43692 49319 87384 98638 147957 197276 295914 394552 542509 591828 1085018 1183656 1627527 2170036 3255054 4340072 6510108 13020216