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283142000 = 2453672113
BaseRepresentation
bin10000111000000…
…110011101110000
3201201210002210202
4100320012131300
51034441021000
644032414332
710005444611
oct2070063560
9651702722
10283142000
1113590a859
127a9a73a8
134687785b
1429865c08
1519ccddd5
hex10e06770

283142000 has 80 divisors (see below), whose sum is σ = 695184672. Its totient is φ = 111513600.

The previous prime is 283141979. The next prime is 283142011. The reversal of 283142000 is 241382.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 132944 + ... + 135056.

Almost surely, 2283142000 is an apocalyptic number.

283142000 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 283142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347592336).

283142000 is an abundant number, since it is smaller than the sum of its proper divisors (412042672).

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

283142000 is a wasteful number, since it uses less digits than its factorization.

283142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 283142000 is about 16826.8238238831. The cubic root of 283142000 is about 656.6512346029.

Adding to 283142000 its reverse (241382), we get a palindrome (283383382).

The spelling of 283142000 in words is "two hundred eighty-three million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 2000 2113 2680 3350 4226 5360 6700 8375 8452 10565 13400 16750 16904 21130 26800 33500 33808 42260 52825 67000 84520 105650 134000 141571 169040 211300 264125 283142 422600 528250 566284 707855 845200 1056500 1132568 1415710 2113000 2265136 2831420 3539275 4226000 5662840 7078550 11325680 14157100 17696375 28314200 35392750 56628400 70785500 141571000 283142000