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1020816 = 243317139
BaseRepresentation
bin11111001001110010000
31220212022000
43321032100
5230131231
633514000
711451066
oct3711620
91825260
101020816
11637a55
12412900
13299844
141c8036
151526e6
hexf9390

1020816 has 80 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 317952.

The previous prime is 1020797. The next prime is 1020821. The reversal of 1020816 is 6180201.

1020816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7275 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

21020816 is an apocalyptic number.

1020816 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 1020816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1020816 is an abundant number, since it is smaller than the sum of its proper divisors (2103984).

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

1020816 is a wasteful number, since it uses less digits than its factorization.

1020816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1020816 is about 1010.3543932700. The cubic root of 1020816 is about 100.6891070732.

The spelling of 1020816 in words is "one million, twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 139 144 153 204 216 272 278 306 408 417 432 459 556 612 816 834 918 1112 1224 1251 1668 1836 2224 2363 2448 2502 3336 3672 3753 4726 5004 6672 7089 7344 7506 9452 10008 14178 15012 18904 20016 21267 28356 30024 37808 42534 56712 60048 63801 85068 113424 127602 170136 255204 340272 510408 1020816