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10239232 = 28233747
BaseRepresentation
bin100111000011…
…110100000000
3201021012120211
4213003310000
510110123412
61003243504
7153013663
oct47036400
921235524
1010239232
115863983
123519594
132176723
1415076da
15d73ca7
hex9c3d00

10239232 has 72 divisors (see below), whose sum is σ = 22369536. Its totient is φ = 4663296.

The previous prime is 10239227. The next prime is 10239239. The reversal of 10239232 is 23293201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239239) 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, 217833 + ... + 217879.

It is an arithmetic number, because the mean of its divisors is an integer number (310688).

Almost surely, 210239232 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 10239232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184768).

10239232 is an abundant number, since it is smaller than the sum of its proper divisors (12130304).

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

10239232 is an equidigital number, since it uses as much as digits as its factorization.

10239232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 10239232 is about 3199.8799977499. The cubic root of 10239232 is about 217.1479803566.

The spelling of 10239232 in words is "ten million, two hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 37 46 47 64 74 92 94 128 148 184 188 256 296 368 376 592 736 752 851 1081 1184 1472 1504 1702 1739 2162 2368 2944 3008 3404 3478 4324 4736 5888 6016 6808 6956 8648 9472 12032 13616 13912 17296 27232 27824 34592 39997 54464 55648 69184 79994 108928 111296 138368 159988 217856 222592 276736 319976 445184 639952 1279904 2559808 5119616 10239232