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74280 = 2335619
BaseRepresentation
bin10010001000101000
310202220010
4102020220
54334110
61331520
7426363
oct221050
9122803
1074280
1150898
1236ba0
1327a6b
141d0da
1517020
hex12228

74280 has 32 divisors (see below), whose sum is σ = 223200. Its totient is φ = 19776.

The previous prime is 74279. The next prime is 74287. The reversal of 74280 is 8247.

It is a happy number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (74287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (6975).

274280 is an apocalyptic number.

It is an amenable number.

74280 is an abundant number, since it is smaller than the sum of its proper divisors (148920).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

74280 is a wasteful number, since it uses less digits than its factorization.

74280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 74280 is about 272.5435744977. The cubic root of 74280 is about 42.0362498831.

The spelling of 74280 in words is "seventy-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 619 1238 1857 2476 3095 3714 4952 6190 7428 9285 12380 14856 18570 24760 37140 74280