[go: up one dir, main page]

Search a number
-
+
10045332 = 22321125367
BaseRepresentation
bin100110010100…
…011110010100
3200220100121100
4212110132110
510032422312
6555150100
7151245453
oct46243624
920810540
1010045332
115741230
123445330
1321093ab
141496b9a
15d365dc
hex994794

10045332 has 36 divisors (see below), whose sum is σ = 27701856. Its totient is φ = 3043920.

The previous prime is 10045327. The next prime is 10045363. The reversal of 10045332 is 23354001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12288 + ... + 13079.

It is an arithmetic number, because the mean of its divisors is an integer number (769496).

Almost surely, 210045332 is an apocalyptic number.

10045332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10045332 is an abundant number, since it is smaller than the sum of its proper divisors (17656524).

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

10045332 is a wasteful number, since it uses less digits than its factorization.

10045332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25388 (or 25383 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10045332 is about 3169.4371740106. The cubic root of 10045332 is about 215.7685277560.

Adding to 10045332 its reverse (23354001), we get a palindrome (33399333).

It can be divided in two parts, 1004 and 5332, that added together give a palindrome (6336).

The spelling of 10045332 in words is "ten million, forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25367 50734 76101 101468 152202 228303 279037 304404 456606 558074 837111 913212 1116148 1674222 2511333 3348444 5022666 10045332