[go: up one dir, main page]

Search a number
-
+
10136832 = 28367197
BaseRepresentation
bin100110101010…
…110100000000
3201002000010020
4212222310000
510043334312
61001133440
7152106306
oct46526400
921060106
1010136832
1157a3a52
12348a280
13213bc34
1414bc276
15d5378c
hex9aad00

10136832 has 72 divisors (see below), whose sum is σ = 27520416. Its totient is φ = 3311616.

The previous prime is 10136831. The next prime is 10136837. The reversal of 10136832 is 23863101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10136831) 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, 51358 + ... + 51554.

It is an arithmetic number, because the mean of its divisors is an integer number (382228).

Almost surely, 210136832 is an apocalyptic number.

10136832 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 10136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760208).

10136832 is an abundant number, since it is smaller than the sum of its proper divisors (17383584).

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

10136832 is an equidigital number, since it uses as much as digits as its factorization.

10136832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10136832 is about 3183.8391919191. The cubic root of 10136832 is about 216.4216728498.

Adding to 10136832 its reverse (23863101), we get a palindrome (33999933).

The spelling of 10136832 in words is "ten million, one hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 197 201 256 268 384 394 402 536 591 768 788 804 1072 1182 1576 1608 2144 2364 3152 3216 4288 4728 6304 6432 8576 9456 12608 12864 13199 17152 18912 25216 25728 26398 37824 39597 50432 51456 52796 75648 79194 105592 151296 158388 211184 316776 422368 633552 844736 1267104 1689472 2534208 3378944 5068416 10136832