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283040 = 2552961
BaseRepresentation
bin1000101000110100000
3112101020222
41011012200
533024130
610022212
72256122
oct1050640
9471228
10283040
1118371a
12117968
139baa4
1475212
1558ce5
hex451a0

283040 has 48 divisors (see below), whose sum is σ = 703080. Its totient is φ = 107520.

The previous prime is 283027. The next prime is 283051. The reversal of 283040 is 40382.

It can be written as a sum of positive squares in 4 ways, for example, as 150544 + 132496 = 388^2 + 364^2 .

It is a super-2 number, since 2×2830402 = 160223283200, which contains 22 as substring.

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, 4610 + ... + 4670.

2283040 is an apocalyptic number.

283040 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 283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540).

283040 is an abundant number, since it is smaller than the sum of its proper divisors (420040).

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

283040 is a wasteful number, since it uses less digits than its factorization.

283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 283040 is about 532.0150373815. The cubic root of 283040 is about 65.6572373736.

The spelling of 283040 in words is "two hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 61 80 116 122 145 160 232 244 290 305 464 488 580 610 928 976 1160 1220 1769 1952 2320 2440 3538 4640 4880 7076 8845 9760 14152 17690 28304 35380 56608 70760 141520 283040