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66799260 = 223251123067
BaseRepresentation
bin1111111011010…
…0011010011100
311122200202100200
43332310122130
5114100034020
610343423500
71440533013
oct376643234
9148622320
1066799260
1134785300
121a454b90
1310aba9b8
148c2ba7a
155ce7590
hex3fb469c

66799260 has 108 divisors (see below), whose sum is σ = 222792024. Its totient is φ = 16188480.

The previous prime is 66799247. The next prime is 66799277. The reversal of 66799260 is 6299766.

It is a super-2 number, since 2×667992602 = 8924282273095200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20247 + ... + 23313.

Almost surely, 266799260 is an apocalyptic number.

66799260 is a gapful number since it is divisible by the number (60) 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 66799260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111396012).

66799260 is an abundant number, since it is smaller than the sum of its proper divisors (155992764).

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

66799260 is a wasteful number, since it uses less digits than its factorization.

66799260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 66799260 is about 8173.0814262431. The cubic root of 66799260 is about 405.7487748285.

The spelling of 66799260 in words is "sixty-six million, seven hundred ninety-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3067 3630 4356 5445 6134 7260 9201 10890 12268 15335 18402 21780 27603 30670 33737 36804 46005 55206 61340 67474 92010 101211 110412 134948 138015 168685 184020 202422 276030 303633 337370 371107 404844 506055 552060 607266 674740 742214 1012110 1113321 1214532 1484428 1518165 1855535 2024220 2226642 3036330 3339963 3711070 4453284 5566605 6072660 6679926 7422140 11133210 13359852 16699815 22266420 33399630 66799260