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2155893760 = 21051723147
BaseRepresentation
bin1000000010000000…
…0101010000000000
312120020200202021001
42000200011100000
513403402100020
6553532141344
7104265536356
oct20040052000
95506622231
102155893760
11a06a44989
12502007854
1328485aaa7
141664797d6
15c940850a
hex80805400

2155893760 has 264 divisors, whose sum is σ = 5791601664. Its totient is φ = 768737280.

The previous prime is 2155893749. The next prime is 2155893769. The reversal of 2155893760 is 673985512.

It is a self number, because there is not a number n which added to its sum of digits gives 2155893760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155893769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45870057 + ... + 45870103.

Almost surely, 22155893760 is an apocalyptic number.

2155893760 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 2155893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895800832).

2155893760 is an abundant number, since it is smaller than the sum of its proper divisors (3635707904).

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

2155893760 is a wasteful number, since it uses less digits than its factorization.

2155893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The square root of 2155893760 is about 46431.6030306945. The cubic root of 2155893760 is about 1291.8411623755.

The spelling of 2155893760 in words is "two billion, one hundred fifty-five million, eight hundred ninety-three thousand, seven hundred sixty".