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10064142 = 2331116943
BaseRepresentation
bin100110011001…
…000100001110
3200221022102000
4212121010032
510034023032
6555413130
7151354344
oct46310416
920838360
1010064142
115754380
1234541a6
132114b1a
14149d994
15d3be7c
hex99910e

10064142 has 32 divisors (see below), whose sum is σ = 24399360. Its totient is φ = 3049560.

The previous prime is 10064141. The next prime is 10064149. The reversal of 10064142 is 24146001.

It is a super-3 number, since 3×100641423 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7878 + ... + 9065.

It is an arithmetic number, because the mean of its divisors is an integer number (762480).

Almost surely, 210064142 is an apocalyptic number.

10064142 is an abundant number, since it is smaller than the sum of its proper divisors (14335218).

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

10064142 is a wasteful number, since it uses less digits than its factorization.

10064142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16965 (or 16959 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10064142 is about 3172.4031900123. The cubic root of 10064142 is about 215.9031201344.

The spelling of 10064142 in words is "ten million, sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 16943 33886 50829 101658 152487 186373 304974 372746 457461 559119 914922 1118238 1677357 3354714 5032071 10064142