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10394064 = 24321929131
BaseRepresentation
bin100111101001…
…100111010000
3201120001222100
4213221213100
510130102224
61010440400
7154230252
oct47514720
921501870
1010394064
11595a23a
123593100
1321cc045
141547cd2
15da4ac9
hex9e99d0

10394064 has 120 divisors (see below), whose sum is σ = 31917600. Its totient is φ = 3144960.

The previous prime is 10394057. The next prime is 10394101. The reversal of 10394064 is 46049301.

10394064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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, 79279 + ... + 79409.

It is an arithmetic number, because the mean of its divisors is an integer number (265980).

Almost surely, 210394064 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 10394064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958800).

10394064 is an abundant number, since it is smaller than the sum of its proper divisors (21523536).

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

10394064 is a wasteful number, since it uses less digits than its factorization.

10394064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10394064 is about 3223.9826302262. The cubic root of 10394064 is about 218.2370398102.

The spelling of 10394064 in words is "ten million, three hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 131 144 152 171 174 228 232 261 262 304 342 348 393 456 464 522 524 551 684 696 786 912 1044 1048 1102 1179 1368 1392 1572 1653 2088 2096 2204 2358 2489 2736 3144 3306 3799 4176 4408 4716 4959 4978 6288 6612 7467 7598 8816 9432 9918 9956 11397 13224 14934 15196 18864 19836 19912 22401 22794 26448 29868 30392 34191 39672 39824 44802 45588 59736 60784 68382 72181 79344 89604 91176 119472 136764 144362 179208 182352 216543 273528 288724 358416 433086 547056 577448 649629 866172 1154896 1299258 1732344 2598516 3464688 5197032 10394064