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10067814 = 234292143
BaseRepresentation
bin100110011001…
…111101100110
3200221111110000
4212121331212
510034132224
6555442130
7151401141
oct46317546
920844400
1010067814
115757109
123456346
1321166b3
1414a1058
15d3d0c9
hex999f66

10067814 has 40 divisors (see below), whose sum is σ = 23348160. Its totient is φ = 3238704.

The previous prime is 10067809. The next prime is 10067831. The reversal of 10067814 is 41876001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3627 + ... + 5769.

It is an arithmetic number, because the mean of its divisors is an integer number (583704).

Almost surely, 210067814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10067814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674080).

10067814 is an abundant number, since it is smaller than the sum of its proper divisors (13280346).

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

10067814 is a wasteful number, since it uses less digits than its factorization.

10067814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10067814 is about 3172.9818782968. The cubic root of 10067814 is about 215.9293750586.

The spelling of 10067814 in words is "ten million, sixty-seven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2143 2349 4286 4698 6429 12858 19287 38574 57861 62147 115722 124294 173583 186441 347166 372882 559323 1118646 1677969 3355938 5033907 10067814