Search a number
-
+
503904240 = 2435572232
BaseRepresentation
bin11110000010001…
…111011111110000
31022010011222200000
4132002033133300
52012444413430
6122000230000
715326054400
oct3602173760
91263158600
10503904240
11239493794
1212090b300
13805211b8
144acd0800
152e389e60
hex1e08f7f0

503904240 has 540 divisors, whose sum is σ = 2134097784. Its totient is φ = 110170368.

The previous prime is 503904223. The next prime is 503904277. The reversal of 503904240 is 42409305.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21908869 + ... + 21908891.

Almost surely, 2503904240 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 503904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067048892).

503904240 is an abundant number, since it is smaller than the sum of its proper divisors (1630193544).

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

503904240 is a wasteful number, since it uses less digits than its factorization.

503904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 503904240 is about 22447.8114746182. The cubic root of 503904240 is about 795.7610369956.

The spelling of 503904240 in words is "five hundred three million, nine hundred four thousand, two hundred forty".