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1215040320 = 2632513172383
BaseRepresentation
bin100100001101100…
…0000101101000000
310010200022102222100
41020123000231000
54442022242240
6320322310400
742052446414
oct11033005500
93120272870
101215040320
1157394985a
1229aab8400
1316495c290
14b7526d44
1571a0be30
hex486c0b40

1215040320 has 672 divisors, whose sum is σ = 5032564992. Its totient is φ = 266010624.

The previous prime is 1215040313. The next prime is 1215040339. The reversal of 1215040320 is 230405121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1215040293 and 1215040302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14638999 + ... + 14639081.

It is an arithmetic number, because the mean of its divisors is an integer number (7488936).

Almost surely, 21215040320 is an apocalyptic number.

1215040320 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 1215040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516282496).

1215040320 is an abundant number, since it is smaller than the sum of its proper divisors (3817524672).

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

1215040320 is a wasteful number, since it uses less digits than its factorization.

1215040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1215040320 is about 34857.4284765816. The cubic root of 1215040320 is about 1067.0797948328.

Adding to 1215040320 its reverse (230405121), we get a palindrome (1445445441).

The spelling of 1215040320 in words is "one billion, two hundred fifteen million, forty thousand, three hundred twenty".