Search a number
-
+
74460000 = 253541773
BaseRepresentation
bin1000111000000…
…10101101100000
312012002221220210
410130002231200
5123030210000
611215534120
71562620356
oct434025540
9165087823
1074460000
113903799a
1220b2a340
1312570894
149c637d6
15680c350
hex4702b60

74460000 has 240 divisors, whose sum is σ = 262153584. Its totient is φ = 18432000.

The previous prime is 74459999. The next prime is 74460011. The reversal of 74460000 is 6447.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1019964 + ... + 1020036.

Almost surely, 274460000 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 74460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131076792).

74460000 is an abundant number, since it is smaller than the sum of its proper divisors (187693584).

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

74460000 is a wasteful number, since it uses less digits than its factorization.

74460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 74460000 is about 8629.0208019218. The cubic root of 74460000 is about 420.7017746032.

Adding to 74460000 its reverse (6447), we get a palindrome (74466447).

The spelling of 74460000 in words is "seventy-four million, four hundred sixty thousand".