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2128712160 = 25354434817
BaseRepresentation
bin111111011100001…
…1001000111100000
312111100112210010010
41332320121013200
513324422242120
6551121404520
7103515516621
oct17670310740
95440483103
102128712160
119a2669a53
124b4a99740
1327c0318c3
14162a01a48
15c6d397e0
hex7ee191e0

2128712160 has 48 divisors (see below), whose sum is σ = 6705444816. Its totient is φ = 567656448.

The previous prime is 2128712147. The next prime is 2128712161. The reversal of 2128712160 is 612178212.

2128712160 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128712161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2216929 + ... + 2217888.

It is an arithmetic number, because the mean of its divisors is an integer number (139696767).

Almost surely, 22128712160 is an apocalyptic number.

2128712160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2128712160 is an abundant number, since it is smaller than the sum of its proper divisors (4576732656).

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

2128712160 is a wasteful number, since it uses less digits than its factorization.

2128712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434835 (or 4434827 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 2128712160 is about 46137.9687459255. The cubic root of 2128712160 is about 1286.3889879568.

The spelling of 2128712160 in words is "two billion, one hundred twenty-eight million, seven hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4434817 8869634 13304451 17739268 22174085 26608902 35478536 44348170 53217804 66522255 70957072 88696340 106435608 133044510 141914144 177392680 212871216 266089020 354785360 425742432 532178040 709570720 1064356080 2128712160