Search a number
-
+
66963780 = 22335139539
BaseRepresentation
bin1111111101110…
…0100101000100
311200000010001000
43333130211010
5114120320110
610351133300
71442116452
oct377344504
9150003030
1066963780
1134887974
121a514230
1310b47850
148c719d2
155d2b1c0
hex3fdc944

66963780 has 96 divisors (see below), whose sum is σ = 224380800. Its totient is φ = 16481664.

The previous prime is 66963779. The next prime is 66963781. The reversal of 66963780 is 8736966.

66963780 is a `hidden beast` number, since 6 + 6 + 9 + 637 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66963779) and next prime (66963781).

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

It is not an unprimeable number, because it can be changed into a prime (66963781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2251 + ... + 11789.

It is an arithmetic number, because the mean of its divisors is an integer number (2337300).

Almost surely, 266963780 is an apocalyptic number.

66963780 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 66963780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112190400).

66963780 is an abundant number, since it is smaller than the sum of its proper divisors (157417020).

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

66963780 is a wasteful number, since it uses less digits than its factorization.

66963780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66963780 is about 8183.1399841381. The cubic root of 66963780 is about 406.0816081594.

The spelling of 66963780 in words is "sixty-six million, nine hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 9539 19078 28617 38156 47695 57234 85851 95390 114468 124007 143085 171702 190780 248014 257553 286170 343404 372021 429255 496028 515106 572340 620035 744042 858510 1030212 1116063 1240070 1287765 1488084 1717020 1860105 2232126 2480140 2575530 3348189 3720210 4464252 5151060 5580315 6696378 7440420 11160630 13392756 16740945 22321260 33481890 66963780