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2389280 = 255109137
BaseRepresentation
bin1001000111010100100000
311111101110212
421013110200
51102424110
6123113252
726210555
oct11072440
94441425
102389280
111392113
12972828
1365869a
14462a2c
15322e05
hex247520

2389280 has 48 divisors (see below), whose sum is σ = 5738040. Its totient is φ = 940032.

The previous prime is 2389279. The next prime is 2389297. The reversal of 2389280 is 829832.

2389280 = 582 + 592 + ... + 1942.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 234256 = 1468^2 + 484^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17372 + ... + 17508.

22389280 is an apocalyptic number.

2389280 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 2389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869020).

2389280 is an abundant number, since it is smaller than the sum of its proper divisors (3348760).

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

2389280 is a wasteful number, since it uses less digits than its factorization.

2389280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

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

The square root of 2389280 is about 1545.7296011916. The cubic root of 2389280 is about 133.6869502230.

The spelling of 2389280 in words is "two million, three hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 137 160 218 274 436 545 548 685 872 1090 1096 1370 1744 2180 2192 2740 3488 4360 4384 5480 8720 10960 14933 17440 21920 29866 59732 74665 119464 149330 238928 298660 477856 597320 1194640 2389280