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14105376 = 2532174367
BaseRepresentation
bin110101110011…
…101100100000
3222112121221100
4311303230200
512102333001
61222154400
7230615355
oct65635440
928477840
1014105376
117a6463a
124882a00
132bcb39c
141c3262c
151389586
hexd73b20

14105376 has 144 divisors (see below), whose sum is σ = 44108064. Its totient is φ = 4257792.

The previous prime is 14105369. The next prime is 14105381. The reversal of 14105376 is 67350141.

14105376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 210495 + ... + 210561.

It is an arithmetic number, because the mean of its divisors is an integer number (306306).

Almost surely, 214105376 is an apocalyptic number.

14105376 is a gapful number since it is divisible by the number (16) 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 14105376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054032).

14105376 is an abundant number, since it is smaller than the sum of its proper divisors (30002688).

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

14105376 is a wasteful number, since it uses less digits than its factorization.

14105376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 14105376 is about 3755.7124490568. The cubic root of 14105376 is about 241.6174088007.

It can be divided in two parts, 1410 and 5376, that added together give a triangular number (6786 = T116).

The spelling of 14105376 in words is "fourteen million, one hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 43 48 51 67 68 72 86 96 102 129 134 136 144 153 172 201 204 258 268 272 288 306 344 387 402 408 516 536 544 603 612 688 731 774 804 816 1032 1072 1139 1206 1224 1376 1462 1548 1608 1632 2064 2144 2193 2278 2412 2448 2881 2924 3096 3216 3417 4128 4386 4556 4824 4896 5762 5848 6192 6432 6579 6834 8643 8772 9112 9648 10251 11524 11696 12384 13158 13668 17286 17544 18224 19296 20502 23048 23392 25929 26316 27336 34572 35088 36448 41004 46096 48977 51858 52632 54672 69144 70176 82008 92192 97954 103716 105264 109344 138288 146931 164016 195908 207432 210528 276576 293862 328032 391816 414864 440793 587724 783632 829728 881586 1175448 1567264 1763172 2350896 3526344 4701792 7052688 14105376