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10294016 = 2879509
BaseRepresentation
bin100111010001…
…001100000000
3201100222201212
4213101030000
510113402031
61004345252
7153332465
oct47211400
921328655
1010294016
1158a1057
123545228
132195645
14151d66c
15d8512b
hex9d1300

10294016 has 36 divisors (see below), whose sum is σ = 20848800. Its totient is φ = 5071872.

The previous prime is 10294001. The next prime is 10294033. The reversal of 10294016 is 61049201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10293982 and 10294000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19970 + ... + 20478.

Almost surely, 210294016 is an apocalyptic number.

10294016 is a gapful number since it is divisible by the number (16) 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 10294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424400).

10294016 is an abundant number, since it is smaller than the sum of its proper divisors (10554784).

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

10294016 is an frugal number, since it uses more digits than its factorization.

10294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10294016 is about 3208.4288990096. The cubic root of 10294016 is about 217.5345679852.

The spelling of 10294016 in words is "ten million, two hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 509 632 1018 1264 2036 2528 4072 5056 8144 10112 16288 20224 32576 40211 65152 80422 130304 160844 321688 643376 1286752 2573504 5147008 10294016