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10232000 = 26531279
BaseRepresentation
bin100111000010…
…000011000000
3201020211122222
4213002003000
510104411000
61003150212
7152653622
oct47020300
921224588
1010232000
1158594a9
123515368
13217334c
141504c12
15d71a85
hex9c20c0

10232000 has 56 divisors (see below), whose sum is σ = 25359360. Its totient is φ = 4089600.

The previous prime is 10231993. The next prime is 10232029. The reversal of 10232000 is 23201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7361 + ... + 8639.

Almost surely, 210232000 is an apocalyptic number.

10232000 is a gapful number since it is divisible by the number (10) 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 10232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12679680).

10232000 is an abundant number, since it is smaller than the sum of its proper divisors (15127360).

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

10232000 is an equidigital number, since it uses as much as digits as its factorization.

10232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10232000 is about 3198.7497557640. The cubic root of 10232000 is about 217.0968442275.

Adding to 10232000 its reverse (23201), we get a palindrome (10255201).

The spelling of 10232000 in words is "ten million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1279 1600 2000 2558 4000 5116 6395 8000 10232 12790 20464 25580 31975 40928 51160 63950 81856 102320 127900 159875 204640 255800 319750 409280 511600 639500 1023200 1279000 2046400 2558000 5116000 10232000