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2125764 = 22312
BaseRepresentation
bin1000000110111111000100
311000000000000
420012333010
51021011024
6113321300
724032364
oct10067704
94000000
102125764
111222133
12866230
13595764
143d49a4
152becc9
hex206fc4

2125764 has 39 divisors (see below), whose sum is σ = 5580127. Its totient is φ = 708588.

The previous prime is 2125757. The next prime is 2125771. The reversal of 2125764 is 4675212.

The square root of 2125764 is 1458.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2125757) and next prime (2125771).

It is an ABA number since it can be written as A⋅BA, here for A=4, B=27.

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

It is a Duffinian number.

Its product of digits (3360) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 708587 + 708588 + 708589.

22125764 is an apocalyptic number.

2125764 is the 1458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125764

2125764 is an abundant number, since it is smaller than the sum of its proper divisors (3454363).

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

2125764 is an frugal number, since it uses more digits than its factorization.

2125764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 5 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The cubic root of 2125764 is about 128.5794852094.

It can be divided in two parts, 21257 and 64, that added together give a triangular number (21321 = T206).

The spelling of 2125764 in words is "two million, one hundred twenty-five thousand, seven hundred sixty-four".