Search a number
-
+
67746780 = 22345193171
BaseRepresentation
bin1000000100110…
…11101111011100
311201110220010000
410002123233130
5114320344110
610420014300
71451560323
oct402335734
9151426100
1067746780
1135272182
121a831390
131106006a
148dd70ba
155e331c0
hex409bbdc

67746780 has 240 divisors, whose sum is σ = 234178560. Its totient is φ = 16329600.

The previous prime is 67746769. The next prime is 67746797. The reversal of 67746780 is 8764776.

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 79 ways as a sum of consecutive naturals, for example, 954145 + ... + 954215.

It is an arithmetic number, because the mean of its divisors is an integer number (975744).

Almost surely, 267746780 is an apocalyptic number.

67746780 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 67746780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

67746780 is an abundant number, since it is smaller than the sum of its proper divisors (166431780).

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

67746780 is a wasteful number, since it uses less digits than its factorization.

67746780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 67746780 is about 8230.8432131830. The cubic root of 67746780 is about 407.6582345578.

The spelling of 67746780 in words is "sixty-seven million, seven hundred forty-six thousand, seven hundred eighty".