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2115434880 = 27345134373
BaseRepresentation
bin111111000010110…
…1111100110000000
312110102120020010000
41332011233212000
513313022404010
6545525040000
7103264620426
oct17605574600
95412506100
102115434880
11996120599
124b0556000
13279363420
14160d47116
15c5ab57c0
hex7e16f980

2115434880 has 640 divisors, whose sum is σ = 8438965920. Its totient is φ = 501645312.

The previous prime is 2115434773. The next prime is 2115434941. The reversal of 2115434880 is 884345112.

2115434880 is a `hidden beast` number, since 21 + 154 + 3 + 488 + 0 = 666.

2115434880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×21154348802 = 8950129463041228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28978524 + ... + 28978596.

Almost surely, 22115434880 is an apocalyptic number.

2115434880 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 2115434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219482960).

2115434880 is an abundant number, since it is smaller than the sum of its proper divisors (6323531040).

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

2115434880 is a wasteful number, since it uses less digits than its factorization.

2115434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2115434880 is about 45993.8569811230. The cubic root of 2115434880 is about 1283.7089042264.

Adding to 2115434880 its reverse (884345112), we get a palindrome (2999779992).

The spelling of 2115434880 in words is "two billion, one hundred fifteen million, four hundred thirty-four thousand, eight hundred eighty".