Search a number
-
+
5405949360 = 2432578312923
BaseRepresentation
bin1010000100011100…
…00011110110110000
3111221202020200101200
411002032003312300
542032410334420
62252232131200
7250651545210
oct50216036660
914852220350
105405949360
112324576849
12106a536b00
13681ca4106
14393d74240
152198e2b90
hex142383db0

5405949360 has 240 divisors, whose sum is σ = 21000155904. Its totient is φ = 1220663808.

The previous prime is 5405949349. The next prime is 5405949377. The reversal of 5405949360 is 639495045.

5405949360 is a `hidden beast` number, since 54 + 0 + 59 + 493 + 60 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411859 + ... + 424781.

Almost surely, 25405949360 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 5405949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10500077952).

5405949360 is an abundant number, since it is smaller than the sum of its proper divisors (15594206544).

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

5405949360 is a wasteful number, since it uses less digits than its factorization.

5405949360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13023 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5405949360 is about 73525.1614075073. The cubic root of 5405949360 is about 1755.0547040196.

The spelling of 5405949360 in words is "five billion, four hundred five million, nine hundred forty-nine thousand, three hundred sixty".