Search a number
-
+
10169640 = 23325134153
BaseRepresentation
bin100110110010…
…110100101000
3201010200010100
4212302310220
510100412030
61001545400
7152304045
oct46626450
921120110
1010169640
115816668
1234a5260
132150b50
1414ca1cc
15d5d360
hex9b2d28

10169640 has 192 divisors, whose sum is σ = 37149840. Its totient is φ = 2396160.

The previous prime is 10169639. The next prime is 10169641. The reversal of 10169640 is 4696101.

10169640 is a `hidden beast` number, since 1 + 0 + 16 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (10169639) and next prime (10169641).

It can be written as a sum of positive squares in 8 ways, for example, as 1205604 + 8964036 = 1098^2 + 2994^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10169641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 191854 + ... + 191906.

Almost surely, 210169640 is an apocalyptic number.

10169640 is a gapful number since it is divisible by the number (10) 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 10169640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

10169640 is an abundant number, since it is smaller than the sum of its proper divisors (26980200).

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

10169640 is a wasteful number, since it uses less digits than its factorization.

10169640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10169640 is about 3188.9873000688. The cubic root of 10169640 is about 216.6549053445.

The spelling of 10169640 in words is "ten million, one hundred sixty-nine thousand, six hundred forty".