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2985620 = 2251141331
BaseRepresentation
bin1011011000111010010100
312121200111112
423120322110
51231014440
6143554152
734243301
oct13307224
95550445
102985620
11175a160
12bbb958
13806c51
1457a0a8
153de965
hex2d8e94

2985620 has 48 divisors (see below), whose sum is σ = 7027776. Its totient is φ = 1056000.

The previous prime is 2985617. The next prime is 2985629. The reversal of 2985620 is 265892.

2985620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8855 + ... + 9185.

It is an arithmetic number, because the mean of its divisors is an integer number (146412).

22985620 is an apocalyptic number.

2985620 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 2985620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513888).

2985620 is an abundant number, since it is smaller than the sum of its proper divisors (4042156).

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

2985620 is a wasteful number, since it uses less digits than its factorization.

2985620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2985620 is about 1727.8946727159. The cubic root of 2985620 is about 143.9941484248.

The spelling of 2985620 in words is "two million, nine hundred eighty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 331 410 451 662 820 902 1324 1655 1804 2255 3310 3641 4510 6620 7282 9020 13571 14564 18205 27142 36410 54284 67855 72820 135710 149281 271420 298562 597124 746405 1492810 2985620