[go: up one dir, main page]

Search a number
-
+
673480080 = 2432571319541
BaseRepresentation
bin101000001001000…
…111110110010000
31201221021022222200
4220021013312100
52334402330310
6150455003200
722455325530
oct5011076620
91657238880
10673480080
11316186609
12169669500
13a96b5430
14656334c0
153e1d49c0
hex28247d90

673480080 has 480 divisors, whose sum is σ = 2935645440. Its totient is φ = 134369280.

The previous prime is 673480057. The next prime is 673480091. The reversal of 673480080 is 80084376.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244610 + ... + 1245150.

It is an arithmetic number, because the mean of its divisors is an integer number (6115928).

Almost surely, 2673480080 is an apocalyptic number.

673480080 is a gapful number since it is divisible by the number (60) 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 673480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467822720).

673480080 is an abundant number, since it is smaller than the sum of its proper divisors (2262165360).

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

673480080 is a wasteful number, since it uses less digits than its factorization.

673480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 673480080 is about 25951.4947546379. The cubic root of 673480080 is about 876.5464158353.

The spelling of 673480080 in words is "six hundred seventy-three million, four hundred eighty thousand, eighty".