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2128155120 = 24365713401
BaseRepresentation
bin111111011011001…
…0001000111110000
312111022111111000000
41332312101013300
513324301430440
6551101430000
7103511006610
oct17666210760
95438444000
102128155120
119a2319493
124b486b300
1327bb981b0
141628d8a40
15c6c79730
hex7ed911f0

2128155120 has 560 divisors, whose sum is σ = 9153289152. Its totient is φ = 447897600.

The previous prime is 2128155119. The next prime is 2128155121. The reversal of 2128155120 is 215518212.

It is a happy number.

2128155120 is a `hidden beast` number, since 2 + 12 + 81 + 551 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2128155119) and next prime (2128155121).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128155121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5306920 + ... + 5307320.

Almost surely, 22128155120 is an apocalyptic number.

2128155120 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 2128155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576644576).

2128155120 is an abundant number, since it is smaller than the sum of its proper divisors (7025134032).

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

2128155120 is a wasteful number, since it uses less digits than its factorization.

2128155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 2128155120 is about 46131.9316742752. The cubic root of 2128155120 is about 1286.2767710261.

The spelling of 2128155120 in words is "two billion, one hundred twenty-eight million, one hundred fifty-five thousand, one hundred twenty".