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16704464 = 2472937139
BaseRepresentation
bin111111101110…
…001111010000
31011102200012212
4333232033100
513234020324
61354011252
7261662030
oct77561720
934380185
1016704464
11947a347
125716b28
1335cb3ca
14230b8c0
1516ee70e
hexfee3d0

16704464 has 80 divisors (see below), whose sum is σ = 39580800. Its totient is φ = 6676992.

The previous prime is 16704461. The next prime is 16704473. The reversal of 16704464 is 46440761.

It is a self number, because there is not a number n which added to its sum of digits gives 16704464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16704461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120107 + ... + 120245.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 216704464 is an apocalyptic number.

16704464 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 16704464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790400).

16704464 is an abundant number, since it is smaller than the sum of its proper divisors (22876336).

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

16704464 is a wasteful number, since it uses less digits than its factorization.

16704464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 16704464 is about 4087.1094920494. The cubic root of 16704464 is about 255.6294280313.

It can be divided in two parts, 16704 and 464, that multiplied together give a square (7750656 = 27842).

The spelling of 16704464 in words is "sixteen million, seven hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 37 56 58 74 112 116 139 148 203 232 259 278 296 406 464 518 556 592 812 973 1036 1073 1112 1624 1946 2072 2146 2224 3248 3892 4031 4144 4292 5143 7511 7784 8062 8584 10286 15022 15568 16124 17168 20572 28217 30044 32248 36001 41144 56434 60088 64496 72002 82288 112868 120176 144004 149147 225736 288008 298294 451472 576016 596588 1044029 1193176 2088058 2386352 4176116 8352232 16704464