Search a number
-
+
66916080 = 243257111771
BaseRepresentation
bin1111111101000…
…0111011110000
311122220200121100
43333100323300
5114112303310
610350124400
71441530420
oct377207360
9148820540
1066916080
1134855050
121a4b0700
1310b2bc1a
148c5c480
155d1bec0
hex3fd0ef0

66916080 has 480 divisors, whose sum is σ = 300837888. Its totient is φ = 12902400.

The previous prime is 66916067. The next prime is 66916099. The reversal of 66916080 is 8061966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942445 + ... + 942515.

Almost surely, 266916080 is an apocalyptic number.

66916080 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 66916080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418944).

66916080 is an abundant number, since it is smaller than the sum of its proper divisors (233921808).

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

66916080 is a wasteful number, since it uses less digits than its factorization.

66916080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 66916080 is about 8180.2249357826. The cubic root of 66916080 is about 405.9851645109.

The spelling of 66916080 in words is "sixty-six million, nine hundred sixteen thousand, eighty".