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2155591680 = 21135116379
BaseRepresentation
bin1000000001111011…
…1011100000000000
312120020010101212220
42000132323200000
513403312413210
6553521451040
7104263140564
oct20036734000
95506111786
102155591680
11a06858a30
12501aa0a80
13284783448
141663db6a4
15c9398c70
hex807bb800

2155591680 has 192 divisors, whose sum is σ = 7524316800. Its totient is φ = 522485760.

The previous prime is 2155591657. The next prime is 2155591699. The reversal of 2155591680 is 861955512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 334731 + ... + 341109.

It is an arithmetic number, because the mean of its divisors is an integer number (39189150).

Almost surely, 22155591680 is an apocalyptic number.

2155591680 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 2155591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762158400).

2155591680 is an abundant number, since it is smaller than the sum of its proper divisors (5368725120).

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

2155591680 is a wasteful number, since it uses less digits than its factorization.

2155591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 42.

The square root of 2155591680 is about 46428.3499599113. The cubic root of 2155591680 is about 1291.7808227284.

The spelling of 2155591680 in words is "two billion, one hundred fifty-five million, five hundred ninety-one thousand, six hundred eighty".