Search a number
-
+
67050720 = 25335111783
BaseRepresentation
bin1111111111000…
…1110011100000
311200011112022000
43333301303200
5114131110340
610353044000
71442631102
oct377616340
9150145260
1067050720
1134937220
121a556600
1310b782a9
148c95572
155d46d30
hex3ff1ce0

67050720 has 384 divisors, whose sum is σ = 274337280. Its totient is φ = 15114240.

The previous prime is 67050707. The next prime is 67050721. The reversal of 67050720 is 2705076.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67050721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807799 + ... + 807881.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 267050720 is an apocalyptic number.

67050720 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 67050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

67050720 is an abundant number, since it is smaller than the sum of its proper divisors (207286560).

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

67050720 is a wasteful number, since it uses less digits than its factorization.

67050720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 67050720 is about 8188.4504028540. The cubic root of 67050720 is about 406.2572726114.

Adding to 67050720 its reverse (2705076), we get a palindrome (69755796).

The spelling of 67050720 in words is "sixty-seven million, fifty thousand, seven hundred twenty".