Search a number
-
+
10525032 = 233376961
BaseRepresentation
bin101000001001…
…100101101000
3201210201122000
4220021211220
510143300112
61013331000
7155314140
oct50114550
921721560
1010525032
115a39681
123636a60
13224683b
14157d920
15dcd7dc
hexa09968

10525032 has 64 divisors (see below), whose sum is σ = 33417600. Its totient is φ = 3006720.

The previous prime is 10525019. The next prime is 10525037. The reversal of 10525032 is 23052501.

It is a happy number.

It is a super-2 number, since 2×105250322 = 221552597202048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 10524996 and 10525014.

It is not an unprimeable number, because it can be changed into a prime (10525037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969 + ... + 4992.

It is an arithmetic number, because the mean of its divisors is an integer number (522150).

Almost surely, 210525032 is an apocalyptic number.

10525032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10525032 is an abundant number, since it is smaller than the sum of its proper divisors (22892568).

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

10525032 is a wasteful number, since it uses less digits than its factorization.

10525032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10525032 is about 3244.2305713374. The cubic root of 10525032 is about 219.1498317888.

Adding to 10525032 its reverse (23052501), we get a palindrome (33577533).

It can be divided in two parts, 1052 and 5032, that added together give a square (6084 = 782).

The spelling of 10525032 in words is "ten million, five hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6961 13922 20883 27844 41766 48727 55688 62649 83532 97454 125298 146181 167064 187947 194908 250596 292362 375894 389816 438543 501192 584724 751788 877086 1169448 1315629 1503576 1754172 2631258 3508344 5262516 10525032