Search a number
-
+
66868776 = 233213199359
BaseRepresentation
bin1111111100010…
…1011000101000
311122211021201100
43333011120220
5114104300101
610345121400
71441242462
oct377053050
9148737640
1066868776
1134822557
121a489260
1310b13530
148c49132
155d0ce86
hex3fc5628

66868776 has 96 divisors (see below), whose sum is σ = 196560000. Its totient is φ = 20414592.

The previous prime is 66868759. The next prime is 66868777. The reversal of 66868776 is 67786866.

Its product of digits (4064256) is a multiple of the sum of its prime divisors (576).

It is not an unprimeable number, because it can be changed into a prime (66868777) 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, 186085 + ... + 186443.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 266868776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66868776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

66868776 is an abundant number, since it is smaller than the sum of its proper divisors (129691224).

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

66868776 is a wasteful number, since it uses less digits than its factorization.

66868776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 66868776 is about 8177.3330615794. Note that the first 3 decimals coincide. The cubic root of 66868776 is about 405.8894762529.

Adding to 66868776 its sum of digits (54), we get a triangular number (66868830 = T11564).

The spelling of 66868776 in words is "sixty-six million, eight hundred sixty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 199 234 312 359 398 468 597 718 796 936 1077 1194 1436 1592 1791 2154 2388 2587 2872 3231 3582 4308 4667 4776 5174 6462 7164 7761 8616 9334 10348 12924 14001 14328 15522 18668 20696 23283 25848 28002 31044 37336 42003 46566 56004 62088 71441 84006 93132 112008 142882 168012 186264 214323 285764 336024 428646 571528 642969 857292 928733 1285938 1714584 1857466 2571876 2786199 3714932 5143752 5572398 7429864 8358597 11144796 16717194 22289592 33434388 66868776