Search a number
-
+
65928960 = 283255997
BaseRepresentation
bin1111101101111…
…1111100000000
311121001112112100
43323133330000
5113334211320
610313030400
71430246466
oct373377400
9147045470
1065928960
1134240449
121a0b5400
1310874826
148a82836
155bc4790
hex3edff00

65928960 has 216 divisors, whose sum is σ = 234365040. Its totient is φ = 17104896.

The previous prime is 65928949. The next prime is 65928991. The reversal of 65928960 is 6982956.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679632 + ... + 679728.

Almost surely, 265928960 is an apocalyptic number.

65928960 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 65928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117182520).

65928960 is an abundant number, since it is smaller than the sum of its proper divisors (168436080).

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

65928960 is a wasteful number, since it uses less digits than its factorization.

65928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 65928960 is about 8119.6650177209. The cubic root of 65928960 is about 403.9789552152.

The spelling of 65928960 in words is "sixty-five million, nine hundred twenty-eight thousand, nine hundred sixty".