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2048280 = 2335132101
BaseRepresentation
bin111110100000100011000
310212001201020
413310010120
51011021110
6111522440
723260443
oct7640430
93761636
102048280
1111799a3
12829420
13569400
143b465a
152a6d70
hex1f4118

2048280 has 96 divisors (see below), whose sum is σ = 6719760. Its totient is φ = 499200.

The previous prime is 2048273. The next prime is 2048327. The reversal of 2048280 is 828402.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2048280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20230 + ... + 20330.

22048280 is an apocalyptic number.

2048280 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 2048280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359880).

2048280 is an abundant number, since it is smaller than the sum of its proper divisors (4671480).

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

2048280 is a wasteful number, since it uses less digits than its factorization.

2048280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2048280 is about 1431.1813302304. The cubic root of 2048280 is about 126.9978712934.

The spelling of 2048280 in words is "two million, forty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 101 104 120 130 156 169 195 202 260 303 312 338 390 404 505 507 520 606 676 780 808 845 1010 1014 1212 1313 1352 1515 1560 1690 2020 2028 2424 2535 2626 3030 3380 3939 4040 4056 5070 5252 6060 6565 6760 7878 10140 10504 12120 13130 15756 17069 19695 20280 26260 31512 34138 39390 51207 52520 68276 78780 85345 102414 136552 157560 170690 204828 256035 341380 409656 512070 682760 1024140 2048280