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1020672 = 2832443
BaseRepresentation
bin11111001001100000000
31220212002200
43321030000
5230130142
633513200
711450502
oct3711400
91825080
101020672
11637934
12412800
13299763
141c7d72
1515264c
hexf9300

1020672 has 54 divisors (see below), whose sum is σ = 2949492. Its totient is φ = 339456.

The previous prime is 1020667. The next prime is 1020683. The reversal of 1020672 is 2760201.

It is a happy number.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2083 + ... + 2525.

21020672 is an apocalyptic number.

1020672 is a gapful number since it is divisible by the number (12) 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 1020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474746).

1020672 is an abundant number, since it is smaller than the sum of its proper divisors (1928820).

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

1020672 is an equidigital number, since it uses as much as digits as its factorization.

1020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1020672 is about 1010.2831286328. The cubic root of 1020672 is about 100.6843723273.

Adding to 1020672 its reverse (2760201), we get a palindrome (3780873).

The spelling of 1020672 in words is "one million, twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 443 576 768 886 1152 1329 1772 2304 2658 3544 3987 5316 7088 7974 10632 14176 15948 21264 28352 31896 42528 56704 63792 85056 113408 127584 170112 255168 340224 510336 1020672