Search a number
-
+
10034640 = 24325711181
BaseRepresentation
bin100110010001…
…110111010000
3200212210221100
4212101313100
510032102030
6555024400
7151202340
oct46216720
920783840
1010034640
1157341a0
12343b100
132104575
141492d20
15d33360
hex991dd0

10034640 has 240 divisors, whose sum is σ = 42247296. Its totient is φ = 2073600.

The previous prime is 10034639. The next prime is 10034663. The reversal of 10034640 is 4643001.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 55350 + ... + 55530.

Almost surely, 210034640 is an apocalyptic number.

10034640 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 10034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

10034640 is an abundant number, since it is smaller than the sum of its proper divisors (32212656).

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

10034640 is a wasteful number, since it uses less digits than its factorization.

10034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10034640 is about 3167.7499901350. The cubic root of 10034640 is about 215.6919477058.

Adding to 10034640 its reverse (4643001), we get a palindrome (14677641).

The spelling of 10034640 in words is "ten million, thirty-four thousand, six hundred forty".