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2108340 = 22325131753
BaseRepresentation
bin1000000010101110110100
310222010002200
420002232310
51014431330
6113104500
723630523
oct10025664
93863080
102108340
111210033
12858130
1358a850
143cc4ba
152b9a60
hex202bb4

2108340 has 144 divisors (see below), whose sum is σ = 7429968. Its totient is φ = 479232.

The previous prime is 2108339. The next prime is 2108347. The reversal of 2108340 is 438012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36 + 2108304 = 6^2 + 1452^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39754 + ... + 39806.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

22108340 is an apocalyptic number.

2108340 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 2108340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984).

2108340 is an abundant number, since it is smaller than the sum of its proper divisors (5321628).

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

2108340 is a wasteful number, since it uses less digits than its factorization.

2108340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2108340 is about 1452.0123966413. The cubic root of 2108340 is about 128.2272168642.

The spelling of 2108340 in words is "two million, one hundred eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 53 60 65 68 78 85 90 102 106 117 130 153 156 159 170 180 195 204 212 221 234 255 260 265 306 318 340 390 442 468 477 510 530 585 612 636 663 689 765 780 795 884 901 954 1020 1060 1105 1170 1326 1378 1530 1590 1802 1908 1989 2067 2210 2340 2385 2652 2703 2756 3060 3180 3315 3445 3604 3978 4134 4420 4505 4770 5406 6201 6630 6890 7956 8109 8268 9010 9540 9945 10335 10812 11713 12402 13260 13515 13780 16218 18020 19890 20670 23426 24804 27030 31005 32436 35139 39780 40545 41340 46852 54060 58565 62010 70278 81090 105417 117130 124020 140556 162180 175695 210834 234260 351390 421668 527085 702780 1054170 2108340