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10066434 = 237892693
BaseRepresentation
bin100110011001…
…101000000010
3200221102112220
4212121220002
510034111214
6555431510
7151364130
oct46315002
920842486
1010066434
115756074
123455596
132115b91
1414a0750
15d3c9a9
hex999a02

10066434 has 32 divisors (see below), whose sum is σ = 23276160. Its totient is φ = 2842752.

The previous prime is 10066421. The next prime is 10066439. The reversal of 10066434 is 43466001.

It is not an unprimeable number, because it can be changed into a prime (10066439) 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, 2392 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (727380).

Almost surely, 210066434 is an apocalyptic number.

10066434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11638080).

10066434 is an abundant number, since it is smaller than the sum of its proper divisors (13209726).

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

10066434 is a wasteful number, since it uses less digits than its factorization.

10066434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10066434 is about 3172.7644097853. The cubic root of 10066434 is about 215.9195087608.

The spelling of 10066434 in words is "ten million, sixty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 534 623 1246 1869 2693 3738 5386 8079 16158 18851 37702 56553 113106 239677 479354 719031 1438062 1677739 3355478 5033217 10066434