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10045140 = 2235723917
BaseRepresentation
bin100110010100…
…011011010100
3200220100100020
4212110123110
510032421030
6555145140
7151245060
oct46243324
920810306
1010045140
115741076
1234451b0
132109291
141496aa0
15d36510
hex9946d4

10045140 has 48 divisors (see below), whose sum is σ = 32145792. Its totient is φ = 2295936.

The previous prime is 10045127. The next prime is 10045141. The reversal of 10045140 is 4154001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045141) 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 15 ways as a sum of consecutive naturals, for example, 11539 + ... + 12378.

It is an arithmetic number, because the mean of its divisors is an integer number (669704).

Almost surely, 210045140 is an apocalyptic number.

10045140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045140 is an abundant number, since it is smaller than the sum of its proper divisors (22100652).

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

10045140 is a wasteful number, since it uses less digits than its factorization.

10045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23936 (or 23934 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10045140 is about 3169.4068845764. The cubic root of 10045140 is about 215.7671530604.

Adding to 10045140 its reverse (4154001), we get a palindrome (14199141).

The spelling of 10045140 in words is "ten million, forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 23917 47834 71751 95668 119585 143502 167419 239170 287004 334838 358755 478340 502257 669676 717510 837095 1004514 1435020 1674190 2009028 2511285 3348380 5022570 10045140