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1016288 = 25713349
BaseRepresentation
bin11111000000111100000
31220122002022
43320013200
5230010123
633441012
711431640
oct3700740
91818068
101016288
11634609
12410168
13297770
141c6520
151511c8
hexf81e0

1016288 has 48 divisors (see below), whose sum is σ = 2469600. Its totient is φ = 400896.

The previous prime is 1016263. The next prime is 1016303. The reversal of 1016288 is 8826101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a zygodrome in base 2.

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, 2738 + ... + 3086.

It is an arithmetic number, because the mean of its divisors is an integer number (51450).

21016288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234800).

1016288 is an abundant number, since it is smaller than the sum of its proper divisors (1453312).

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

1016288 is a wasteful number, since it uses less digits than its factorization.

1016288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1016288 is about 1008.1111049879. Note that the first 4 decimals coincide. The cubic root of 1016288 is about 100.5400119551.

The spelling of 1016288 in words is "one million, sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 349 364 416 698 728 1396 1456 2443 2792 2912 4537 4886 5584 9074 9772 11168 18148 19544 31759 36296 39088 63518 72592 78176 127036 145184 254072 508144 1016288