Search a number
-
+
2130240 = 26357317
BaseRepresentation
bin1000001000000101000000
311000020010210
420020011000
51021131430
6113354120
724051420
oct10100500
94006123
102130240
111225532
12868940
135977c8
143d6480
152c12b0
hex208140

2130240 has 112 divisors (see below), whose sum is σ = 7754112. Its totient is φ = 485376.

The previous prime is 2130239. The next prime is 2130241. The reversal of 2130240 is 420312.

It is an interprime number because it is at equal distance from previous prime (2130239) and next prime (2130241).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6562 + ... + 6878.

22130240 is an apocalyptic number.

2130240 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 2130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877056).

2130240 is an abundant number, since it is smaller than the sum of its proper divisors (5623872).

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

2130240 is a wasteful number, since it uses less digits than its factorization.

2130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2130240 is about 1459.5341722618. The cubic root of 2130240 is about 128.6696674230.

Adding to 2130240 its reverse (420312), we get a palindrome (2550552).

The spelling of 2130240 in words is "two million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 317 320 336 420 448 480 560 634 672 840 951 960 1120 1268 1344 1585 1680 1902 2219 2240 2536 3170 3360 3804 4438 4755 5072 6340 6657 6720 7608 8876 9510 10144 11095 12680 13314 15216 17752 19020 20288 22190 25360 26628 30432 33285 35504 38040 44380 50720 53256 60864 66570 71008 76080 88760 101440 106512 133140 142016 152160 177520 213024 266280 304320 355040 426048 532560 710080 1065120 2130240