Search a number
-
+
74105280 = 26355953
BaseRepresentation
bin1000110101011…
…00000111000000
312011102221100000
410122230013000
5122432332110
611204200000
71556612244
oct432540700
9164387300
1074105280
1138915437
1220999000
13124782a2
149bb0424
15678c1c0
hex46ac1c0

74105280 has 168 divisors, whose sum is σ = 264609072. Its totient is φ = 19740672.

The previous prime is 74105279. The next prime is 74105359. The reversal of 74105280 is 8250147.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 77284 + ... + 78236.

It is an arithmetic number, because the mean of its divisors is an integer number (1575054).

Almost surely, 274105280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132304536).

74105280 is an abundant number, since it is smaller than the sum of its proper divisors (190503792).

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

74105280 is an equidigital number, since it uses as much as digits as its factorization.

74105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 74105280 is about 8608.4423678154. The cubic root of 74105280 is about 420.0326505229.

The spelling of 74105280 in words is "seventy-four million, one hundred five thousand, two hundred eighty".