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10694304 = 253271523
BaseRepresentation
bin101000110010…
…111010100000
3202010022211100
4220302322200
510214204204
61021114400
7156620505
oct50627240
922108740
1010694304
116044875
1236b8a00
1322a58ba
1415c54ac
15e13a39
hexa32ea0

10694304 has 72 divisors (see below), whose sum is σ = 30899232. Its totient is φ = 3507840.

The previous prime is 10694303. The next prime is 10694311. The reversal of 10694304 is 40349601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106943042 = 228736276088832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10694303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20187 + ... + 20709.

It is an arithmetic number, because the mean of its divisors is an integer number (429156).

Almost surely, 210694304 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 10694304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449616).

10694304 is an abundant number, since it is smaller than the sum of its proper divisors (20204928).

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

10694304 is a wasteful number, since it uses less digits than its factorization.

10694304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

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

The square root of 10694304 is about 3270.2146718526. The cubic root of 10694304 is about 220.3184369307.

The spelling of 10694304 in words is "ten million, six hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 523 568 639 852 1046 1136 1278 1569 1704 2092 2272 2556 3138 3408 4184 4707 5112 6276 6816 8368 9414 10224 12552 16736 18828 20448 25104 37133 37656 50208 74266 75312 111399 148532 150624 222798 297064 334197 445596 594128 668394 891192 1188256 1336788 1782384 2673576 3564768 5347152 10694304