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1215330480 = 24365713229
BaseRepresentation
bin100100001110000…
…0111100010110000
310010200212012000000
41020130013202300
54442111033410
6320332430000
742055065360
oct11034074260
93120765000
101215330480
11574027861
1229b018300
13164a31380
14b75a09a0
1571a67dc0
hex487078b0

1215330480 has 560 divisors, whose sum is σ = 5236956480. Its totient is φ = 255301632.

The previous prime is 1215330461. The next prime is 1215330491. The reversal of 1215330480 is 840335121.

It is a happy number.

1215330480 is a `hidden beast` number, since 1 + 2 + 153 + 30 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 111 ways as a sum of consecutive naturals, for example, 5307006 + ... + 5307234.

It is an arithmetic number, because the mean of its divisors is an integer number (9351708).

Almost surely, 21215330480 is an apocalyptic number.

1215330480 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 1215330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618478240).

1215330480 is an abundant number, since it is smaller than the sum of its proper divisors (4021626000).

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

1215330480 is a wasteful number, since it uses less digits than its factorization.

1215330480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

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

The square root of 1215330480 is about 34861.5903251702. The cubic root of 1215330480 is about 1067.1647300745.

The spelling of 1215330480 in words is "one billion, two hundred fifteen million, three hundred thirty thousand, four hundred eighty".