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10188045 = 335710781
BaseRepresentation
bin100110110111…
…010100001101
3201011121101000
4212313110031
510102004140
61002210513
7152411520
oct46672415
921147330
1010188045
11582947a
1234b3a39
13215933a
1414d2bb7
15d63a30
hex9b750d

10188045 has 32 divisors (see below), whose sum is σ = 20701440. Its totient is φ = 4656960.

The previous prime is 10188043. The next prime is 10188071. The reversal of 10188045 is 54088101.

It is not a de Polignac number, because 10188045 - 21 = 10188043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10188041) 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 31 ways as a sum of consecutive naturals, for example, 4446 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (646920).

Almost surely, 210188045 is an apocalyptic number.

10188045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10188045 is an abundant number, since it is smaller than the sum of its proper divisors (10513395).

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

10188045 is a wasteful number, since it uses less digits than its factorization.

10188045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10188045 is about 3191.8717079482. The cubic root of 10188045 is about 216.7855271562.

The spelling of 10188045 in words is "ten million, one hundred eighty-eight thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 10781 32343 53905 75467 97029 161715 226401 291087 377335 485145 679203 1132005 1455435 2037609 3396015 10188045