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180803040 = 2535113283
BaseRepresentation
bin10101100011011…
…01010111100000
3110121012202010220
422301231113200
5332241144130
625535123040
74323541365
oct1261552740
9417182126
10180803040
1193071000
1250673480
132b5c5562
141a02646c
1510d16410
hexac6d5e0

180803040 has 192 divisors, whose sum is σ = 628653312. Its totient is φ = 43676160.

The previous prime is 180803039. The next prime is 180803093. The reversal of 180803040 is 40308081.

180803040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 180803040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638739 + ... + 639021.

It is an arithmetic number, because the mean of its divisors is an integer number (3274236).

Almost surely, 2180803040 is an apocalyptic number.

180803040 is a gapful number since it is divisible by the number (10) 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 180803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314326656).

180803040 is an abundant number, since it is smaller than the sum of its proper divisors (447850272).

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

180803040 is a wasteful number, since it uses less digits than its factorization.

180803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 180803040 is about 13446.3020938844. The cubic root of 180803040 is about 565.4600268346.

The spelling of 180803040 in words is "one hundred eighty million, eight hundred three thousand, forty".