Search a number
-
+
3015252240 = 24357211213163
BaseRepresentation
bin1011001110111001…
…0001100100010000
321210010201200110220
42303232101210100
522133401032430
61215111153040
7134502135600
oct26356214420
97703650426
103015252240
111308038700
12701975780
133908c4930
14208656c00
15129aa8110
hexb3b91910

3015252240 has 720 divisors, whose sum is σ = 12950046144. Its totient is φ = 574801920.

The previous prime is 3015252239. The next prime is 3015252257. The reversal of 3015252240 is 422525103.

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 3015252240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18498399 + ... + 18498561.

Almost surely, 23015252240 is an apocalyptic number.

3015252240 is a gapful number since it is divisible by the number (30) 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 3015252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475023072).

3015252240 is an abundant number, since it is smaller than the sum of its proper divisors (9934793904).

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

3015252240 is a wasteful number, since it uses less digits than its factorization.

3015252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3015252240 is about 54911.3124956962. The cubic root of 3015252240 is about 1444.6896105792.

Adding to 3015252240 its reverse (422525103), we get a palindrome (3437777343).

It can be divided in two parts, 3015 and 252240, that added together give a triangular number (255255 = T714).

The spelling of 3015252240 in words is "three billion, fifteen million, two hundred fifty-two thousand, two hundred forty".