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10294432 = 252371197
BaseRepresentation
bin100111010001…
…010010100000
3201101000022021
4213101102200
510113410212
61004351224
7153333631
oct47212240
921330267
1010294432
1158a13a5
123545514
1321958a5
14151d888
15d85307
hex9d14a0

10294432 has 48 divisors (see below), whose sum is σ = 21555072. Its totient is φ = 4829440.

The previous prime is 10294429. The next prime is 10294433. The reversal of 10294432 is 23449201.

It is a junction number, because it is equal to n+sod(n) for n = 10294397 and 10294406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10294433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52158 + ... + 52354.

It is an arithmetic number, because the mean of its divisors is an integer number (449064).

Almost surely, 210294432 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 10294432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777536).

10294432 is an abundant number, since it is smaller than the sum of its proper divisors (11260640).

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

10294432 is a wasteful number, since it uses less digits than its factorization.

10294432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10294432 is about 3208.4937275924. The cubic root of 10294432 is about 217.5374982689.

The spelling of 10294432 in words is "ten million, two hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 197 284 368 394 568 736 788 1136 1576 1633 2272 3152 3266 4531 6304 6532 9062 13064 13987 18124 26128 27974 36248 52256 55948 72496 111896 144992 223792 321701 447584 643402 1286804 2573608 5147216 10294432