Search a number
-
+
66239820 = 223251721647
BaseRepresentation
bin1111110010101…
…1110101001100
311121122022221200
43330223311030
5113424133240
610323425500
71433013003
oct374536514
9147568850
1066239820
1134432a59
121a225290
131095317a
148b23c3a
155c36930
hex3f2bd4c

66239820 has 72 divisors (see below), whose sum is σ = 212756544. Its totient is φ = 16624128.

The previous prime is 66239819. The next prime is 66239821. The reversal of 66239820 is 2893266.

66239820 is a `hidden beast` number, since 6 + 623 + 9 + 8 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (66239819) and next prime (66239821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66239821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7764 + ... + 13883.

It is an arithmetic number, because the mean of its divisors is an integer number (2954952).

Almost surely, 266239820 is an apocalyptic number.

66239820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66239820 is an abundant number, since it is smaller than the sum of its proper divisors (146516724).

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

66239820 is a wasteful number, since it uses less digits than its factorization.

66239820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21679 (or 21674 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66239820 is about 8138.7849215961. The cubic root of 66239820 is about 404.6128902819.

The spelling of 66239820 in words is "sixty-six million, two hundred thirty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 21647 43294 64941 86588 108235 129882 194823 216470 259764 324705 367999 389646 432940 649410 735998 779292 974115 1103997 1298820 1471996 1839995 1948230 2207994 3311991 3679990 3896460 4415988 5519985 6623982 7359980 11039970 13247964 16559955 22079940 33119910 66239820