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66699780 = 223574463
BaseRepresentation
bin1111111001110…
…0001000000100
311122111200220020
43332130020010
5114033343110
610341335140
71436640000
oct376341004
9148450806
1066699780
1134717594
121a4074b0
1310a84634
148c03700
155cc7d70
hex3f9c204

66699780 has 120 divisors (see below), whose sum is σ = 218343552. Its totient is φ = 15212736.

The previous prime is 66699761. The next prime is 66699781. The reversal of 66699780 is 8799666.

It is a happy number.

It is a super-4 number, since 4×666997804 (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (66699781) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143829 + ... + 144291.

Almost surely, 266699780 is an apocalyptic number.

66699780 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 66699780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109171776).

66699780 is an abundant number, since it is smaller than the sum of its proper divisors (151643772).

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

66699780 is a wasteful number, since it uses less digits than its factorization.

66699780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 66699780 is about 8166.9933268003. The cubic root of 66699780 is about 405.5472559202.

The spelling of 66699780 in words is "sixty-six million, six hundred ninety-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 463 490 588 686 735 926 980 1029 1372 1389 1470 1715 1852 2058 2315 2401 2778 2940 3241 3430 4116 4630 4802 5145 5556 6482 6860 6945 7203 9260 9604 9723 10290 12005 12964 13890 14406 16205 19446 20580 22687 24010 27780 28812 32410 36015 38892 45374 48020 48615 64820 68061 72030 90748 97230 113435 136122 144060 158809 194460 226870 272244 317618 340305 453740 476427 635236 680610 794045 952854 1111663 1361220 1588090 1905708 2223326 2382135 3176180 3334989 4446652 4764270 5558315 6669978 9528540 11116630 13339956 16674945 22233260 33349890 66699780