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2134686960 = 243857283
BaseRepresentation
bin111111100111100…
…1011110011110000
312111202210100000000
41333033023303300
513332434440320
6551453430000
7103620353100
oct17717136360
95452710000
102134686960
119a5a7a9aa
124b6a9b300
132803442a3
14163719200
15c7619c90
hex7f3cbcf0

2134686960 has 540 divisors, whose sum is σ = 8764079688. Its totient is φ = 482049792.

The previous prime is 2134686959. The next prime is 2134686973. The reversal of 2134686960 is 696864312.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25719079 + ... + 25719161.

Almost surely, 22134686960 is an apocalyptic number.

2134686960 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 2134686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382039844).

2134686960 is an abundant number, since it is smaller than the sum of its proper divisors (6629392728).

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

2134686960 is an frugal number, since it uses more digits than its factorization.

2134686960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2134686960 is about 46202.6726499669. The cubic root of 2134686960 is about 1287.5913952778.

The spelling of 2134686960 in words is "two billion, one hundred thirty-four million, six hundred eighty-six thousand, nine hundred sixty".