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13023324 = 22324347179
BaseRepresentation
bin110001101011…
…100001011100
3220111122122100
4301223201130
511313221244
61143045100
7215460606
oct61534134
926448570
1013023324
117395686
124440790
13290ca12
141a30176
151223b69
hexc6b85c

13023324 has 72 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 4126752.

The previous prime is 13023289. The next prime is 13023383. The reversal of 13023324 is 42332031.

13023324 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13023297 and 13023306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72667 + ... + 72845.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 213023324 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 13023324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

13023324 is an abundant number, since it is smaller than the sum of its proper divisors (21571236).

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

13023324 is a wasteful number, since it uses less digits than its factorization.

13023324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13023324 is about 3608.7842828299. The cubic root of 13023324 is about 235.2740066292.

Adding to 13023324 its reverse (42332031), we get a palindrome (55355355).

The spelling of 13023324 in words is "thirteen million, twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 47 86 94 129 141 172 179 188 258 282 358 387 423 516 537 564 716 774 846 1074 1548 1611 1692 2021 2148 3222 4042 6063 6444 7697 8084 8413 12126 15394 16826 18189 23091 24252 25239 30788 33652 36378 46182 50478 69273 72756 75717 92364 100956 138546 151434 277092 302868 361759 723518 1085277 1447036 2170554 3255831 4341108 6511662 13023324