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10066782 = 23111271201
BaseRepresentation
bin100110011001…
…101101011110
3200221110000210
4212121231132
510034114112
6555433250
7151365135
oct46315536
920843023
1010066782
115756360
123455826
13211609b
1414a091c
15d3cb3c
hex999b5e

10066782 has 32 divisors (see below), whose sum is σ = 22155264. Its totient is φ = 3024000.

The previous prime is 10066753. The next prime is 10066783. The reversal of 10066782 is 28766001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066783) 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, 7782 + ... + 8982.

It is an arithmetic number, because the mean of its divisors is an integer number (692352).

Almost surely, 210066782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077632).

10066782 is an abundant number, since it is smaller than the sum of its proper divisors (12088482).

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

10066782 is a wasteful number, since it uses less digits than its factorization.

10066782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10066782 is about 3172.8192510762. The cubic root of 10066782 is about 215.9219968688.

The spelling of 10066782 in words is "ten million, sixty-six thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 762 1201 1397 2402 2794 3603 4191 7206 8382 13211 26422 39633 79266 152527 305054 457581 915162 1677797 3355594 5033391 10066782