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1070208 = 2732929
BaseRepresentation
bin100000101010010000000
32000101001100
410011102000
5233221313
634534400
712045066
oct4052200
92011040
101070208
11671077
12437400
132b6179
141dc036
15162173
hex105480

1070208 has 48 divisors (see below), whose sum is σ = 3082950. Its totient is φ = 356352.

The previous prime is 1070207. The next prime is 1070221. The reversal of 1070208 is 8020701.

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 5184 = 1032^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10702082 = 2290690326528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 688 + ... + 1616.

21070208 is an apocalyptic number.

1070208 is a gapful number since it is divisible by the number (18) 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 1070208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541475).

1070208 is an abundant number, since it is smaller than the sum of its proper divisors (2012742).

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

1070208 is an equidigital number, since it uses as much as digits as its factorization.

1070208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1070208 is about 1034.5085789881. The cubic root of 1070208 is about 102.2875392958.

Adding to 1070208 its reverse (8020701), we get a palindrome (9090909).

The spelling of 1070208 in words is "one million, seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 929 1152 1858 2787 3716 5574 7432 8361 11148 14864 16722 22296 29728 33444 44592 59456 66888 89184 118912 133776 178368 267552 356736 535104 1070208