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14965104 = 2437114049
BaseRepresentation
bin111001000101…
…100101110000
31001011022021010
4321011211300
512312340404
61252430520
7241126020
oct71054560
931138233
1014965104
1184a1560
125018440
13313c7bb
141db7a80
1514a9189
hexe45970

14965104 has 80 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 3886080.

The previous prime is 14965099. The next prime is 14965121. The reversal of 14965104 is 40156941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 5720.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 214965104 is an apocalyptic number.

14965104 is a gapful number since it is divisible by the number (14) 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 14965104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

14965104 is an abundant number, since it is smaller than the sum of its proper divisors (33246096).

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

14965104 is a wasteful number, since it uses less digits than its factorization.

14965104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 14965104 is about 3868.4756687874. The cubic root of 14965104 is about 246.4298124101.

The spelling of 14965104 in words is "fourteen million, nine hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 4049 8098 12147 16196 24294 28343 32392 44539 48588 56686 64784 85029 89078 97176 113372 133617 170058 178156 194352 226744 267234 311773 340116 356312 453488 534468 623546 680232 712624 935319 1068936 1247092 1360464 1870638 2137872 2494184 3741276 4988368 7482552 14965104