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1215240000 = 26354131941
BaseRepresentation
bin100100001101111…
…0001011101000000
310010200200120212220
41020123301131000
54442100140000
6320330451040
742054240522
oct11033613500
93120616786
101215240000
11573a75887
1229ab93a80
131649cc130
14b7579a12
1571a4b1a0
hex486f1740

1215240000 has 560 divisors, whose sum is σ = 4665756480. Its totient is φ = 276480000.

The previous prime is 1215239999. The next prime is 1215240017. The reversal of 1215240000 is 425121.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 29639980 + ... + 29640020.

It is an arithmetic number, because the mean of its divisors is an integer number (8331708).

Almost surely, 21215240000 is an apocalyptic number.

1215240000 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 1215240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332878240).

1215240000 is an abundant number, since it is smaller than the sum of its proper divisors (3450516480).

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

1215240000 is a wasteful number, since it uses less digits than its factorization.

1215240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1215240000 is about 34860.2925977393. The cubic root of 1215240000 is about 1067.1382463422.

Adding to 1215240000 its reverse (425121), we get a palindrome (1215665121).

The spelling of 1215240000 in words is "one billion, two hundred fifteen million, two hundred forty thousand".