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9260064 = 2532113779
BaseRepresentation
bin100011010100…
…110000100000
3122102110102100
4203110300200
54332310224
6530250400
7141465162
oct43246040
918373370
109260064
115255250
123126a00
131bc2b38
141330932
15c2dac9
hex8d4c20

9260064 has 144 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2695680.

The previous prime is 9260057. The next prime is 9260071. The reversal of 9260064 is 4600629.

It is an interprime number because it is at equal distance from previous prime (9260057) and next prime (9260071).

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

It is an Ulam number.

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, 117177 + ... + 117255.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 29260064 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 9260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

9260064 is an abundant number, since it is smaller than the sum of its proper divisors (20617056).

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

9260064 is a wasteful number, since it uses less digits than its factorization.

9260064 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 2592, while the sum is 27.

The square root of 9260064 is about 3043.0353267749. The cubic root of 9260064 is about 209.9929249317.

The spelling of 9260064 in words is "nine million, two hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 79 88 96 99 111 132 144 148 158 176 198 222 237 264 288 296 316 333 352 396 407 444 474 528 592 632 666 711 792 814 869 888 948 1056 1184 1221 1264 1332 1422 1584 1628 1738 1776 1896 2442 2528 2607 2664 2844 2923 3168 3256 3476 3552 3663 3792 4884 5214 5328 5688 5846 6512 6952 7326 7584 7821 8769 9768 10428 10656 11376 11692 13024 13904 14652 15642 17538 19536 20856 22752 23384 26307 27808 29304 31284 32153 35076 39072 41712 46768 52614 58608 62568 64306 70152 83424 93536 96459 105228 117216 125136 128612 140304 192918 210456 250272 257224 280608 289377 385836 420912 514448 578754 771672 841824 1028896 1157508 1543344 2315016 3086688 4630032 9260064