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1027072 = 2101759
BaseRepresentation
bin11111010110000000000
31221011212201
43322300000
5230331242
634002544
711505244
oct3726000
91834781
101027072
11641722
12416454
1329c647
141ca424
151544b7
hexfac00

1027072 has 44 divisors (see below), whose sum is σ = 2210760. Its totient is φ = 475136.

The previous prime is 1027067. The next prime is 1027097. The reversal of 1027072 is 2707201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17379 + ... + 17437.

21027072 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 1027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105380).

1027072 is an abundant number, since it is smaller than the sum of its proper divisors (1183688).

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

1027072 is an equidigital number, since it uses as much as digits as its factorization.

1027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 1027072 is about 1013.4456078152. The cubic root of 1027072 is about 100.8943770496.

The spelling of 1027072 in words is "one million, twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 256 272 472 512 544 944 1003 1024 1088 1888 2006 2176 3776 4012 4352 7552 8024 8704 15104 16048 17408 30208 32096 60416 64192 128384 256768 513536 1027072