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13066020 = 22325116599
BaseRepresentation
bin110001110101…
…111100100100
3220120211012200
4301311330210
511321103040
61144014500
7216026232
oct61657444
926524180
1013066020
117414770
124461430
132926296
141a41952
151231630
hexc75f24

13066020 has 72 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3167040.

The previous prime is 13065991. The next prime is 13066049. The reversal of 13066020 is 2066031.

It is a happy number.

13066020 is a `hidden beast` number, since 1 + 3 + 0 + 660 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13065991) and next prime (13066049).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13065984 and 13066002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 213066020 is an apocalyptic number.

13066020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13066020 is an abundant number, since it is smaller than the sum of its proper divisors (30177180).

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

13066020 is a wasteful number, since it uses less digits than its factorization.

13066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13066020 is about 3614.6950078810. The cubic root of 13066020 is about 235.5308356177.

The spelling of 13066020 in words is "thirteen million, sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6599 13198 19797 26396 32995 39594 59391 65990 72589 79188 98985 118782 131980 145178 197970 217767 237564 290356 296955 362945 395940 435534 593910 653301 725890 871068 1088835 1187820 1306602 1451780 2177670 2613204 3266505 4355340 6533010 13066020