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9164064 = 2537131049
BaseRepresentation
bin100010111101…
…010100100000
3122020120201210
4202331110200
54321222224
6524230120
7140615250
oct42752440
918216653
109164064
11519a108
12309b340
131b8b230
141307960
15c10429
hex8bd520

9164064 has 96 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 2414592.

The previous prime is 9164047. The next prime is 9164069. The reversal of 9164064 is 4604619.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9164069) 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, 8212 + ... + 9260.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 29164064 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 9164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

9164064 is an abundant number, since it is smaller than the sum of its proper divisors (20471136).

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

9164064 is a wasteful number, since it uses less digits than its factorization.

9164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9164064 is about 3027.2205073301. The cubic root of 9164064 is about 209.2647302029.

The spelling of 9164064 in words is "nine million, one hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1049 1092 1248 1456 2098 2184 2912 3147 4196 4368 6294 7343 8392 8736 12588 13637 14686 16784 22029 25176 27274 29372 33568 40911 44058 50352 54548 58744 81822 88116 95459 100704 109096 117488 163644 176232 190918 218192 234976 286377 327288 352464 381836 436384 572754 654576 704928 763672 1145508 1309152 1527344 2291016 3054688 4582032 9164064