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2119320 = 233257292
BaseRepresentation
bin1000000101011010011000
310222200011100
420011122120
51020304240
6113231400
724004530
oct10053230
93880140
102119320
111218305
12862560
13592848
143d24c0
152bce30
hex205698

2119320 has 144 divisors (see below), whose sum is σ = 8152560. Its totient is φ = 467712.

The previous prime is 2119319. The next prime is 2119363. The reversal of 2119320 is 239112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2119293 and 2119302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73066 + ... + 73094.

It is an arithmetic number, because the mean of its divisors is an integer number (56615).

22119320 is an apocalyptic number.

2119320 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 2119320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076280).

2119320 is an abundant number, since it is smaller than the sum of its proper divisors (6033240).

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

2119320 is a wasteful number, since it uses less digits than its factorization.

2119320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2119320 is about 1455.7884461693. The cubic root of 2119320 is about 128.4494292470.

The spelling of 2119320 in words is "two million, one hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 29 30 35 36 40 42 45 56 58 60 63 70 72 84 87 90 105 116 120 126 140 145 168 174 180 203 210 232 252 261 280 290 315 348 360 406 420 435 504 522 580 609 630 696 812 840 841 870 1015 1044 1160 1218 1260 1305 1624 1682 1740 1827 2030 2088 2436 2520 2523 2610 3045 3364 3480 3654 4060 4205 4872 5046 5220 5887 6090 6728 7308 7569 8120 8410 9135 10092 10440 11774 12180 12615 14616 15138 16820 17661 18270 20184 23548 24360 25230 29435 30276 33640 35322 36540 37845 47096 50460 52983 58870 60552 70644 73080 75690 88305 100920 105966 117740 141288 151380 176610 211932 235480 264915 302760 353220 423864 529830 706440 1059660 2119320