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13020168 = 2337194079
BaseRepresentation
bin110001101010…
…110000001000
3220111111022110
4301222300020
511313121133
61143022320
7215445450
oct61526010
926444273
1013020168
117393277
12443a9a0
13290b455
141a2cd60
151222c63
hexc6ac08

13020168 has 64 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 3523392.

The previous prime is 13020157. The next prime is 13020169. The reversal of 13020168 is 86102031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020169) 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, 1153 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 213020168 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 13020168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

13020168 is an abundant number, since it is smaller than the sum of its proper divisors (26147832).

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

13020168 is a wasteful number, since it uses less digits than its factorization.

13020168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13020168 is about 3608.3469899665. The cubic root of 13020168 is about 235.2550000951.

Adding to 13020168 its reverse (86102031), we get a palindrome (99122199).

The spelling of 13020168 in words is "thirteen million, twenty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 4079 8158 12237 16316 24474 28553 32632 48948 57106 77501 85659 97896 114212 155002 171318 228424 232503 310004 342636 465006 542507 620008 685272 930012 1085014 1627521 1860024 2170028 3255042 4340056 6510084 13020168