Search a number
-
+
66716160 = 293571773
BaseRepresentation
bin1111111010000…
…0001000000000
311122112112100220
43332200020000
5114034404120
610341543040
71440035520
oct376401000
9148475326
1066716160
1134728925
121a414a80
1310a8bc24
148c09680
155cccb40
hex3fa0200

66716160 has 320 divisors, whose sum is σ = 261626112. Its totient is φ = 14155776.

The previous prime is 66716149. The next prime is 66716189. The reversal of 66716160 is 6161766.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913884 + ... + 913956.

Almost surely, 266716160 is an apocalyptic number.

66716160 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 66716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130813056).

66716160 is an abundant number, since it is smaller than the sum of its proper divisors (194909952).

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

66716160 is a wasteful number, since it uses less digits than its factorization.

66716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 66716160 is about 8167.9960822713. The cubic root of 66716160 is about 405.5804510339.

The spelling of 66716160 in words is "sixty-six million, seven hundred sixteen thousand, one hundred sixty".