Search a number
-
+
10015640 = 235337743
BaseRepresentation
bin100110001101…
…001110011000
3200211211212122
4212031032120
510031000030
6554400412
7151063055
oct46151630
920754778
1010015640
115720998
123430108
1320c8a1b
14148a02c
15d2c8e5
hex98d398

10015640 has 32 divisors (see below), whose sum is σ = 22632480. Its totient is φ = 3988992.

The previous prime is 10015637. The next prime is 10015657. The reversal of 10015640 is 4651001.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 13109 + ... + 13851.

It is an arithmetic number, because the mean of its divisors is an integer number (707265).

Almost surely, 210015640 is an apocalyptic number.

10015640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10015640 is an abundant number, since it is smaller than the sum of its proper divisors (12616840).

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

10015640 is a wasteful number, since it uses less digits than its factorization.

10015640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10015640 is about 3164.7495951497. The cubic root of 10015640 is about 215.5557283608. Note that the first 3 decimals are identical.

Adding to 10015640 its reverse (4651001), we get a palindrome (14666641).

The spelling of 10015640 in words is "ten million, fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 337 674 743 1348 1486 1685 2696 2972 3370 3715 5944 6740 7430 13480 14860 29720 250391 500782 1001564 1251955 2003128 2503910 5007820 10015640