Search a number
-
+
2129790 = 2351343127
BaseRepresentation
bin1000000111111101111110
311000012112010
420013331332
51021123130
6113352050
724050205
oct10077576
94005463
102129790
111225163
12868626
13597540
143d623c
152c10b0
hex207f7e

2129790 has 64 divisors (see below), whose sum is σ = 5677056. Its totient is φ = 508032.

The previous prime is 2129783. The next prime is 2129791. The reversal of 2129790 is 979212.

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 (2129791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16707 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (88704).

22129790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838528).

2129790 is an abundant number, since it is smaller than the sum of its proper divisors (3547266).

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

2129790 is a wasteful number, since it uses less digits than its factorization.

2129790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2129790 is about 1459.3800053447. The cubic root of 2129790 is about 128.6606065616.

The spelling of 2129790 in words is "two million, one hundred twenty-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 127 129 130 195 215 254 258 381 390 430 559 635 645 762 1118 1270 1290 1651 1677 1905 2795 3302 3354 3810 4953 5461 5590 8255 8385 9906 10922 16383 16510 16770 24765 27305 32766 49530 54610 70993 81915 141986 163830 212979 354965 425958 709930 1064895 2129790