Search a number
-
+
74000 = 245337
BaseRepresentation
bin10010000100010000
310202111202
4102010100
54332000
61330332
7425513
oct220420
9122452
1074000
1150663
12369a8
13278b4
141cd7a
1516dd5
hex12110

74000 has 40 divisors (see below), whose sum is σ = 183768. Its totient is φ = 28800.

The previous prime is 73999. The next prime is 74017. The reversal of 74000 is 47.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 73984 = 4^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 5 and base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1982 + ... + 2018.

274000 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 74000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91884).

74000 is an abundant number, since it is smaller than the sum of its proper divisors (109768).

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

74000 is a wasteful number, since it uses less digits than its factorization.

74000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 74000 is about 272.0294101747. The cubic root of 74000 is about 41.9833645381.

Adding to 74000 its reverse (47), we get a palindrome (74047).

The spelling of 74000 in words is "seventy-four thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000