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66369960 = 233251071723
BaseRepresentation
bin1111110100101…
…1100110101000
311121212221110200
43331023212220
5113442314320
610330312200
71434064266
oct375134650
9147787420
1066369960
1134511808
121a288660
131099a487
148b59436
155c60290
hex3f4b9a8

66369960 has 96 divisors (see below), whose sum is σ = 217844640. Its totient is φ = 17523072.

The previous prime is 66369937. The next prime is 66369967. The reversal of 66369960 is 6996366.

66369960 is a `hidden beast` number, since 6 + 636 + 9 + 9 + 6 + 0 = 666.

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 (66369967) 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, 37659 + ... + 39381.

It is an arithmetic number, because the mean of its divisors is an integer number (2269215).

Almost surely, 266369960 is an apocalyptic number.

66369960 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 66369960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108922320).

66369960 is an abundant number, since it is smaller than the sum of its proper divisors (151474680).

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

66369960 is a wasteful number, since it uses less digits than its factorization.

66369960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 66369960 is about 8146.7760494566. The cubic root of 66369960 is about 404.8776951222.

The spelling of 66369960 in words is "sixty-six million, three hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1723 1926 2140 2568 3210 3446 3852 4280 4815 5169 6420 6892 7704 8615 9630 10338 12840 13784 15507 17230 19260 20676 25845 31014 34460 38520 41352 51690 62028 68920 77535 103380 124056 155070 184361 206760 310140 368722 553083 620280 737444 921805 1106166 1474888 1659249 1843610 2212332 2765415 3318498 3687220 4424664 5530830 6636996 7374440 8296245 11061660 13273992 16592490 22123320 33184980 66369960