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2128454160 = 243572241751
BaseRepresentation
bin111111011011101…
…1010001000010000
312111100001200012120
41332313122020100
513324341013120
6551112054240
7103513363500
oct17667321020
95440050176
102128454160
119a2503128
124b4994380
1327bc71341
14162975a00
15c6cd8140
hex7edda210

2128454160 has 240 divisors, whose sum is σ = 7717577472. Its totient is φ = 483840000.

The previous prime is 2128454131. The next prime is 2128454177. The reversal of 2128454160 is 614548212.

It is a happy number.

2128454160 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 (240).

It is a super-2 number, since 2×21284541602 = 9060634222442611200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2833785 + ... + 2834535.

Almost surely, 22128454160 is an apocalyptic number.

2128454160 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 2128454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858788736).

2128454160 is an abundant number, since it is smaller than the sum of its proper divisors (5589123312).

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

2128454160 is a wasteful number, since it uses less digits than its factorization.

2128454160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2128454160 is about 46135.1726993625. The cubic root of 2128454160 is about 1286.3370157246.

The spelling of 2128454160 in words is "two billion, one hundred twenty-eight million, four hundred fifty-four thousand, one hundred sixty".