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2115060480 = 283251329487
BaseRepresentation
bin111111000010001…
…0100001100000000
312110101212012112100
41332010110030000
513312423413410
6545513030400
7103261501041
oct17604241400
95411765470
102115060480
11995995275
124b03b5400
13279261ba0
14160c8a8c8
15c5a3e8c0
hex7e114300

2115060480 has 432 divisors, whose sum is σ = 8169295680. Its totient is φ = 501645312.

The previous prime is 2115060461. The next prime is 2115060499. The reversal of 2115060480 is 840605112.

2115060480 is a `hidden beast` number, since 2 + 1 + 1 + 50 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2115060461) and next prime (2115060499).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4342797 + ... + 4343283.

Almost surely, 22115060480 is an apocalyptic number.

2115060480 is a gapful number since it is divisible by the number (20) 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 2115060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084647840).

2115060480 is an abundant number, since it is smaller than the sum of its proper divisors (6054235200).

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

2115060480 is a wasteful number, since it uses less digits than its factorization.

2115060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2115060480 is about 45989.7866922646. The cubic root of 2115060480 is about 1283.6331674003.

Adding to 2115060480 its reverse (840605112), we get a palindrome (2955665592).

The spelling of 2115060480 in words is "two billion, one hundred fifteen million, sixty thousand, four hundred eighty".