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10256232 = 2337411489
BaseRepresentation
bin100111000111…
…111101101000
3201022001220110
4213013331220
510111144412
61003454320
7153114360
oct47077550
921261813
1010256232
115875728
1235273a0
13218139c
14150d9a0
15d78d3c
hex9c7f68

10256232 has 64 divisors (see below), whose sum is σ = 30038400. Its totient is φ = 2856960.

The previous prime is 10256209. The next prime is 10256243. The reversal of 10256232 is 23265201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10256199 and 10256208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6144 + ... + 7632.

It is an arithmetic number, because the mean of its divisors is an integer number (469350).

Almost surely, 210256232 is an apocalyptic number.

10256232 is a gapful number since it is divisible by the number (12) 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 10256232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019200).

10256232 is an abundant number, since it is smaller than the sum of its proper divisors (19782168).

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

10256232 is a wasteful number, since it uses less digits than its factorization.

10256232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10256232 is about 3202.5352457077. The cubic root of 10256232 is about 217.2680894483.

The spelling of 10256232 in words is "ten million, two hundred fifty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1489 1722 2296 2978 3444 4467 5956 6888 8934 10423 11912 17868 20846 31269 35736 41692 61049 62538 83384 122098 125076 183147 244196 250152 366294 427343 488392 732588 854686 1282029 1465176 1709372 2564058 3418744 5128116 10256232