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1283216 = 241123317
BaseRepresentation
bin100111001010010010000
32102012020112
410321102100
5312030331
643300452
713623104
oct4712220
92365215
101283216
117a7110
1251a728
1335c0cc
14255904
151a532b
hex139490

1283216 has 40 divisors (see below), whose sum is σ = 2839104. Its totient is φ = 556160.

The previous prime is 1283207. The next prime is 1283237. The reversal of 1283216 is 6123821.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1283191 and 1283200.

It is a congruent number.

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, 3890 + ... + 4206.

21283216 is an apocalyptic number.

1283216 is a gapful number since it is divisible by the number (16) 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 1283216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419552).

1283216 is an abundant number, since it is smaller than the sum of its proper divisors (1555888).

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

1283216 is a wasteful number, since it uses less digits than its factorization.

1283216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 1283216 is about 1132.7912429040. The cubic root of 1283216 is about 108.6675616037.

The spelling of 1283216 in words is "one million, two hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 317 368 506 634 1012 1268 2024 2536 3487 4048 5072 6974 7291 13948 14582 27896 29164 55792 58328 80201 116656 160402 320804 641608 1283216