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10066020 = 22351271321
BaseRepresentation
bin100110011001…
…100001100100
3200221101222120
4212121201210
510034103040
6555425540
7151362666
oct46314144
920841876
1010066020
115755828
1234552b0
132115933
1414a0536
15d3c7d0
hex999864

10066020 has 48 divisors (see below), whose sum is σ = 28428288. Its totient is φ = 2661120.

The previous prime is 10066009. The next prime is 10066051. The reversal of 10066020 is 2066001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6960 + ... + 8280.

It is an arithmetic number, because the mean of its divisors is an integer number (592256).

Almost surely, 210066020 is an apocalyptic number.

10066020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214144).

10066020 is an abundant number, since it is smaller than the sum of its proper divisors (18362268).

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

10066020 is a wasteful number, since it uses less digits than its factorization.

10066020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10066020 is about 3172.6991663251. The cubic root of 10066020 is about 215.9165486956.

The spelling of 10066020 in words is "ten million, sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1321 1524 1905 2540 2642 3810 3963 5284 6605 7620 7926 13210 15852 19815 26420 39630 79260 167767 335534 503301 671068 838835 1006602 1677670 2013204 2516505 3355340 5033010 10066020