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2108430 = 234519137
BaseRepresentation
bin1000000010110000001110
310222010020000
420002300032
51014432210
6113105130
723631012
oct10026016
93863200
102108430
111210105
128581a6
1358a8bc
143cc542
152b9ac0
hex202c0e

2108430 has 80 divisors (see below), whose sum is σ = 6011280. Its totient is φ = 528768.

The previous prime is 2108429. The next prime is 2108437. The reversal of 2108430 is 348012.

It is a happy number.

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 (2108437) 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 39 ways as a sum of consecutive naturals, for example, 15322 + ... + 15458.

It is an arithmetic number, because the mean of its divisors is an integer number (75141).

22108430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005640).

2108430 is an abundant number, since it is smaller than the sum of its proper divisors (3902850).

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

2108430 is a wasteful number, since it uses less digits than its factorization.

2108430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

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

The square root of 2108430 is about 1452.0433877815. The cubic root of 2108430 is about 128.2290414094.

The spelling of 2108430 in words is "two million, one hundred eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 137 162 171 190 270 274 285 342 405 411 513 570 685 810 822 855 1026 1233 1370 1539 1710 2055 2466 2565 2603 3078 3699 4110 5130 5206 6165 7398 7695 7809 11097 12330 13015 15390 15618 18495 22194 23427 26030 36990 39045 46854 55485 70281 78090 110970 117135 140562 210843 234270 351405 421686 702810 1054215 2108430