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10066120 = 235251653
BaseRepresentation
bin100110011001…
…100011001000
3200221102010021
4212121203020
510034103440
6555430224
7151363201
oct46314310
920842107
1010066120
115755909
123455374
1321159ac
1414a05a8
15d3c84a
hex9998c8

10066120 has 16 divisors (see below), whose sum is σ = 22648860. Its totient is φ = 4026432.

The previous prime is 10066117. The next prime is 10066141. The reversal of 10066120 is 2166001.

It can be written as a sum of positive squares in 2 ways, for example, as 8328996 + 1737124 = 2886^2 + 1318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10066094 and 10066103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125787 + ... + 125866.

Almost surely, 210066120 is an apocalyptic number.

10066120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066120 is an abundant number, since it is smaller than the sum of its proper divisors (12582740).

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

10066120 is a wasteful number, since it uses less digits than its factorization.

10066120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251664 (or 251660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10066120 is about 3172.7149257379. The cubic root of 10066120 is about 215.9172636947.

The spelling of 10066120 in words is "ten million, sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 251653 503306 1006612 1258265 2013224 2516530 5033060 10066120