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10326272 = 281119193
BaseRepresentation
bin100111011001…
…000100000000
3201102121222112
4213121010000
510120420042
61005154452
7153525515
oct47310400
921377875
1010326272
115913310
12355ba28
1321a7228
14152b30c
15d8e982
hex9d9100

10326272 has 72 divisors (see below), whose sum is σ = 23792160. Its totient is φ = 4423680.

The previous prime is 10326271. The next prime is 10326299. The reversal of 10326272 is 27262301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10326271) 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, 53408 + ... + 53600.

Almost surely, 210326272 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 10326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896080).

10326272 is an abundant number, since it is smaller than the sum of its proper divisors (13465888).

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

10326272 is a wasteful number, since it uses less digits than its factorization.

10326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 10326272 is about 3213.4517267263. The cubic root of 10326272 is about 217.7615438251.

Adding to 10326272 its reverse (27262301), we get a palindrome (37588573).

The spelling of 10326272 in words is "ten million, three hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 193 209 256 304 352 386 418 608 704 772 836 1216 1408 1544 1672 2123 2432 2816 3088 3344 3667 4246 4864 6176 6688 7334 8492 12352 13376 14668 16984 24704 26752 29336 33968 40337 49408 53504 58672 67936 80674 117344 135872 161348 234688 271744 322696 469376 543488 645392 938752 1290784 2581568 5163136 10326272