Search a number
-
+
263094480 = 24345113691
BaseRepresentation
bin11111010111010…
…00000011010000
3200100001120210000
433223220003100
51014323010410
642035010000
76343160205
oct1753500320
9610046700
10263094480
11125567860
1274139900
134267890c
1426d27cac
151816ddc0
hexfae80d0

263094480 has 200 divisors, whose sum is σ = 997105824. Its totient is φ = 63763200.

The previous prime is 263094473. The next prime is 263094497. The reversal of 263094480 is 84490362.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69435 + ... + 73125.

Almost surely, 2263094480 is an apocalyptic number.

263094480 is a gapful number since it is divisible by the number (20) 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 263094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498552912).

263094480 is an abundant number, since it is smaller than the sum of its proper divisors (734011344).

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

263094480 is a wasteful number, since it uses less digits than its factorization.

263094480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 263094480 is about 16220.1874218518. The cubic root of 263094480 is about 640.7725696292.

The spelling of 263094480 in words is "two hundred sixty-three million, ninety-four thousand, four hundred eighty".