Search a number
-
+
74409860 = 22573111709
BaseRepresentation
bin1000110111101…
…10011110000100
312012000102010202
410123312132010
5123022103420
611214510032
71562321240
oct433663604
9165012122
1074409860
1139003258
1220b05318
1312553b05
149c4d420
1567ec575
hex46f6784

74409860 has 48 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 25415040.

The previous prime is 74409859. The next prime is 74409869. The reversal of 74409860 is 6890447.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (74409869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42686 + ... + 44394.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 274409860 is an apocalyptic number.

74409860 is a gapful number since it is divisible by the number (70) 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 74409860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

74409860 is an abundant number, since it is smaller than the sum of its proper divisors (104852860).

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

74409860 is a wasteful number, since it uses less digits than its factorization.

74409860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 74409860 is about 8626.1150003927. The cubic root of 74409860 is about 420.6073224431.

The spelling of 74409860 in words is "seventy-four million, four hundred nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 311 622 1244 1555 1709 2177 3110 3418 4354 6220 6836 8545 8708 10885 11963 17090 21770 23926 34180 43540 47852 59815 119630 239260 531499 1062998 2125996 2657495 3720493 5314990 7440986 10629980 14881972 18602465 37204930 74409860