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2129920 = 215513
BaseRepresentation
bin1000001000000000000000
311000012200221
420020000000
51021124140
6113352424
724050452
oct10100000
94005627
102129920
111225271
12868714
13597610
143d62d2
152c114a
hex208000

2129920 has 64 divisors (see below), whose sum is σ = 5504940. Its totient is φ = 786432.

The previous prime is 2129903. The next prime is 2129951. The reversal of 2129920 is 299212.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 147456 = 1408^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163834 + ... + 163846.

22129920 is an apocalyptic number.

2129920 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 2129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752470).

2129920 is an abundant number, since it is smaller than the sum of its proper divisors (3375020).

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

2129920 is an frugal number, since it uses more digits than its factorization.

2129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 2129920 is about 1459.4245441269. The cubic root of 2129920 is about 128.6632242748.

The spelling of 2129920 in words is "two million, one hundred twenty-nine thousand, nine hundred twenty".