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13078296 = 23327211337
BaseRepresentation
bin110001111000…
…111100011000
3220121110001100
4301320330120
511322001141
61144151400
7216110100
oct61707430
926543040
1013078296
117422a10
124468560
13292ba4a
141a46200
1512350b6
hexc78f18

13078296 has 144 divisors (see below), whose sum is σ = 45082440. Its totient is φ = 3386880.

The previous prime is 13078243. The next prime is 13078309. The reversal of 13078296 is 69287031.

13078296 is digitally balanced in base 2, because in such base 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 (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13078296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38640 + ... + 38976.

Almost surely, 213078296 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 13078296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22541220).

13078296 is an abundant number, since it is smaller than the sum of its proper divisors (32004144).

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

13078296 is a wasteful number, since it uses less digits than its factorization.

13078296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13078296 is about 3616.3926777937. The cubic root of 13078296 is about 235.6045757848.

The spelling of 13078296 in words is "thirteen million, seventy-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 337 392 396 441 462 504 539 588 616 674 693 792 882 924 1011 1078 1176 1348 1386 1617 1764 1848 2022 2156 2359 2696 2772 3033 3234 3528 3707 4044 4312 4718 4851 5544 6066 6468 7077 7414 8088 9436 9702 11121 12132 12936 14154 14828 16513 18872 19404 21231 22242 24264 25949 28308 29656 33026 33363 38808 42462 44484 49539 51898 56616 66052 66726 77847 84924 88968 99078 103796 132104 133452 148617 155694 169848 181643 198156 207592 233541 266904 297234 311388 363286 396312 467082 544929 594468 622776 726572 934164 1089858 1188936 1453144 1634787 1868328 2179716 3269574 4359432 6539148 13078296