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10014140 = 22519373
BaseRepresentation
bin100110001100…
…110110111100
3200211202211002
4212030312330
510030423030
6554345432
7151055513
oct46146674
920752732
1010014140
11571a854
12342b278
1320c8136
14148967a
15d2c245
hex98cdbc

10014140 has 48 divisors (see below), whose sum is σ = 22501920. Its totient is φ = 3742848.

The previous prime is 10014113. The next prime is 10014163. The reversal of 10014140 is 4141001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 137144 + ... + 137216.

It is an arithmetic number, because the mean of its divisors is an integer number (468790).

Almost surely, 210014140 is an apocalyptic number.

10014140 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 10014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11250960).

10014140 is an abundant number, since it is smaller than the sum of its proper divisors (12487780).

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

10014140 is an equidigital number, since it uses as much as digits as its factorization.

10014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10014140 is about 3164.5126007017. The cubic root of 10014140 is about 215.5449668673.

Adding to 10014140 its reverse (4141001), we get a palindrome (14155141).

The spelling of 10014140 in words is "ten million, fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 361 365 380 722 730 1387 1444 1460 1805 2774 3610 5548 6859 6935 7220 13718 13870 26353 27436 27740 34295 52706 68590 105412 131765 137180 263530 500707 527060 1001414 2002828 2503535 5007070 10014140