Search a number
-
+
1531308240 = 24365711231
BaseRepresentation
bin101101101000101…
…1110100011010000
310221201102112000000
41123101132203100
511114003330430
6411541130000
752642622340
oct13321364320
93851375000
101531308240
11716424600
123689b9900
131b5334867
14107532d20
158e680e60
hex5b45e8d0

1531308240 has 840 divisors, whose sum is σ = 6921890304. Its totient is φ = 307929600.

The previous prime is 1531308223. The next prime is 1531308253. The reversal of 1531308240 is 428031351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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 167 ways as a sum of consecutive naturals, for example, 49397025 + ... + 49397055.

Almost surely, 21531308240 is an apocalyptic number.

1531308240 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 1531308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460945152).

1531308240 is an abundant number, since it is smaller than the sum of its proper divisors (5390582064).

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

1531308240 is a wasteful number, since it uses less digits than its factorization.

1531308240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1531308240 is about 39131.9337625934. The cubic root of 1531308240 is about 1152.6236857170.

Adding to 1531308240 its reverse (428031351), we get a palindrome (1959339591).

The spelling of 1531308240 in words is "one billion, five hundred thirty-one million, three hundred eight thousand, two hundred forty".