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1073664 = 2932233
BaseRepresentation
bin100000110001000000000
32000112210100
410012020000
5233324124
635002400
712061134
oct4061000
92015710
101073664
11673729
12439400
132b7907
141dd3c4
151631c9
hex106200

1073664 has 60 divisors (see below), whose sum is σ = 3111966. Its totient is φ = 356352.

The previous prime is 1073651. The next prime is 1073687. The reversal of 1073664 is 4663701.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 57600 = 1008^2 + 240^2 .

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, 4492 + ... + 4724.

21073664 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 1073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555983).

1073664 is an abundant number, since it is smaller than the sum of its proper divisors (2038302).

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

1073664 is an equidigital number, since it uses as much as digits as its factorization.

1073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1073664 is about 1036.1775909563. The cubic root of 1073664 is about 102.3975259819.

The spelling of 1073664 in words is "one million, seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 512 576 699 768 932 1152 1398 1536 1864 2097 2304 2796 3728 4194 4608 5592 7456 8388 11184 14912 16776 22368 29824 33552 44736 59648 67104 89472 119296 134208 178944 268416 357888 536832 1073664