Search a number
-
+
2129880 = 233517749
BaseRepresentation
bin1000000111111111011000
311000012122110
420013333120
51021124010
6113352320
724050364
oct10077730
94005573
102129880
111225235
128686a0
135975ac
143d62a4
152c1120
hex207fd8

2129880 has 32 divisors (see below), whose sum is σ = 6390000. Its totient is φ = 567936.

The previous prime is 2129867. The next prime is 2129887. The reversal of 2129880 is 889212.

2129880 = T171 + T172 + ... + T260.

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 (2129887) 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, 8755 + ... + 8994.

22129880 is an apocalyptic number.

2129880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129880 is an abundant number, since it is smaller than the sum of its proper divisors (4260120).

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

2129880 is a wasteful number, since it uses less digits than its factorization.

2129880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17763 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2129880 is about 1459.4108400310. The cubic root of 2129880 is about 128.6624188360.

The spelling of 2129880 in words is "two million, one hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17749 35498 53247 70996 88745 106494 141992 177490 212988 266235 354980 425976 532470 709960 1064940 2129880