Search a number
-
+
2101320 = 2332513449
BaseRepresentation
bin1000000001000001001000
310221202110200
420001001020
51014220240
6113012200
723601204
oct10010110
93852420
102101320
111205831
12854060
135875b0
143c9b04
152b7930
hex201048

2101320 has 96 divisors (see below), whose sum is σ = 7371000. Its totient is φ = 516096.

The previous prime is 2101313. The next prime is 2101327. The reversal of 2101320 is 231012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101313) and next prime (2101327).

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 675684 = 1194^2 + 822^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2101327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4456 + ... + 4904.

22101320 is an apocalyptic number.

2101320 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 2101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685500).

2101320 is an abundant number, since it is smaller than the sum of its proper divisors (5269680).

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

2101320 is a wasteful number, since it uses less digits than its factorization.

2101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2101320 is about 1449.5930463409. The cubic root of 2101320 is about 128.0847420614.

Adding to 2101320 its reverse (231012), we get a palindrome (2332332).

The spelling of 2101320 in words is "two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 449 468 520 585 780 898 936 1170 1347 1560 1796 2245 2340 2694 3592 4041 4490 4680 5388 5837 6735 8082 8980 10776 11674 13470 16164 17511 17960 20205 23348 26940 29185 32328 35022 40410 46696 52533 53880 58370 70044 80820 87555 105066 116740 140088 161640 175110 210132 233480 262665 350220 420264 525330 700440 1050660 2101320