[go: up one dir, main page]

Search a number
-
+
2130360 = 233541433
BaseRepresentation
bin1000001000000110111000
311000020022020
420020012320
51021132420
6113354440
724051651
oct10100670
94006266
102130360
111225631
12868a20
1359788b
143d6528
152c1340
hex2081b8

2130360 has 64 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 552960.

The previous prime is 2130347. The next prime is 2130367. The reversal of 2130360 is 630312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4704 + ... + 5136.

22130360 is an apocalyptic number.

2130360 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 2130360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2130360 is an abundant number, since it is smaller than the sum of its proper divisors (4431720).

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

2130360 is a wasteful number, since it uses less digits than its factorization.

2130360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2130360 is about 1459.5752806896. The cubic root of 2130360 is about 128.6720834371.

Adding to 2130360 its reverse (630312), we get a palindrome (2760672).

It can be divided in two parts, 21 and 30360, that added together give a triangular number (30381 = T246).

The spelling of 2130360 in words is "two million, one hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 433 492 615 820 866 984 1230 1299 1640 1732 2165 2460 2598 3464 4330 4920 5196 6495 8660 10392 12990 17320 17753 25980 35506 51960 53259 71012 88765 106518 142024 177530 213036 266295 355060 426072 532590 710120 1065180 2130360