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13339368 = 23327219199
BaseRepresentation
bin110010111000…
…101011101000
3221002201011200
4302320223220
511403324433
61153524200
7221245200
oct62705350
927081150
1013339368
117591079
124573660
1329c0823
141ab3400
151287613
hexcb8ae8

13339368 has 144 divisors (see below), whose sum is σ = 44460000. Its totient is φ = 3592512.

The previous prime is 13339357. The next prime is 13339397. The reversal of 13339368 is 86393331.

13339368 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 nude number because it is divisible by every one of its digits.

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, 66933 + ... + 67131.

It is an arithmetic number, because the mean of its divisors is an integer number (308750).

Almost surely, 213339368 is an apocalyptic number.

13339368 is a gapful number since it is divisible by the number (18) 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 13339368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230000).

13339368 is an abundant number, since it is smaller than the sum of its proper divisors (31120632).

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

13339368 is a wasteful number, since it uses less digits than its factorization.

13339368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13339368 is about 3652.3099539880. The cubic root of 13339368 is about 237.1619893460.

It can be divided in two parts, 1333 and 9368, that added together give a palindrome (10701).

The spelling of 13339368 in words is "thirteen million, three hundred thirty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 199 228 252 266 294 342 392 398 399 441 456 504 532 588 597 684 796 798 882 931 1064 1176 1194 1197 1368 1393 1592 1596 1764 1791 1862 2388 2394 2786 2793 3192 3528 3582 3724 3781 4179 4776 4788 5572 5586 7164 7448 7562 8358 8379 9576 9751 11144 11172 11343 12537 14328 15124 16716 16758 19502 22344 22686 25074 26467 29253 30248 33432 33516 34029 39004 45372 50148 52934 58506 67032 68058 78008 79401 87759 90744 100296 105868 117012 136116 158802 175518 185269 211736 234024 238203 272232 317604 351036 370538 476406 555807 635208 702072 741076 952812 1111614 1482152 1667421 1905624 2223228 3334842 4446456 6669684 13339368