Search a number
-
+
10545630 = 235714951
BaseRepresentation
bin101000001110…
…100111011110
3201211202212220
4220032213132
510144430010
61014010210
7155431164
oct50164736
921752786
1010545630
115a530a7
123646966
132253024
141587234
15dd4970
hexa0e9de

10545630 has 32 divisors (see below), whose sum is σ = 25671168. Its totient is φ = 2772000.

The previous prime is 10545617. The next prime is 10545637. The reversal of 10545630 is 3654501.

It is a super-2 number, since 2×105456302 = 222420624193800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10545630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10545637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346 + ... + 4605.

It is an arithmetic number, because the mean of its divisors is an integer number (802224).

Almost surely, 210545630 is an apocalyptic number.

10545630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10545630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835584).

10545630 is an abundant number, since it is smaller than the sum of its proper divisors (15125538).

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

10545630 is a wasteful number, since it uses less digits than its factorization.

10545630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 10545630 is about 3247.4035782452. The cubic root of 10545630 is about 219.2927009252.

It can be divided in two parts, 10545 and 630, that added together give a triangular number (11175 = T149).

The spelling of 10545630 in words is "ten million, five hundred forty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 2130 4951 9902 14853 24755 29706 49510 74265 148530 351521 703042 1054563 1757605 2109126 3515210 5272815 10545630