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2928380 = 2257131609
BaseRepresentation
bin1011001010111011111100
312111202222112
423022323330
51222202010
6142433152
733614360
oct13127374
95452875
102928380
111720154
12b927b8
137b6b90
145632a0
153cca05
hex2caefc

2928380 has 48 divisors (see below), whose sum is σ = 7573440. Its totient is φ = 926208.

The previous prime is 2928377. The next prime is 2928397. The reversal of 2928380 is 838292.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016 + ... + 2624.

It is an arithmetic number, because the mean of its divisors is an integer number (157780).

22928380 is an apocalyptic number.

2928380 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 2928380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786720).

2928380 is an abundant number, since it is smaller than the sum of its proper divisors (4645060).

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

2928380 is a wasteful number, since it uses less digits than its factorization.

2928380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2928380 is about 1711.2510043825. The cubic root of 2928380 is about 143.0679905544.

The spelling of 2928380 in words is "two million, nine hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1609 1820 3218 6436 8045 11263 16090 20917 22526 32180 41834 45052 56315 83668 104585 112630 146419 209170 225260 292838 418340 585676 732095 1464190 2928380