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1070718208 = 2872175021
BaseRepresentation
bin111111110100011…
…101110100000000
32202121202010020221
4333310131310000
54143100440313
6254125112424
735350645300
oct7764356400
92677663227
101070718208
114aa43548a
1225a6b8714
13140a9a891
14a22b9600
1563eeec8d
hex3fd1dd00

1070718208 has 108 divisors (see below), whose sum is σ = 2632964292. Its totient is φ = 431800320.

The previous prime is 1070718203. The next prime is 1070718277. The reversal of 1070718208 is 8028170701.

It can be written as a sum of positive squares in 2 ways, for example, as 907696384 + 163021824 = 30128^2 + 12768^2 .

It is a super-2 number, since 2×10707182082 = 2292874961885462528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070718203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210738 + ... + 215758.

It is an arithmetic number, because the mean of its divisors is an integer number (24379299).

Almost surely, 21070718208 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 1070718208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316482146).

1070718208 is an abundant number, since it is smaller than the sum of its proper divisors (1562246084).

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

1070718208 is an equidigital number, since it uses as much as digits as its factorization.

1070718208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 34.

The square root of 1070718208 is about 32721.8307556286. The cubic root of 1070718208 is about 1023.0379147283.

Adding to 1070718208 its reverse (8028170701), we get a palindrome (9098888909).

The spelling of 1070718208 in words is "one billion, seventy million, seven hundred eighteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 544 784 833 896 952 1088 1568 1666 1792 1904 2176 3136 3332 3808 4352 5021 6272 6664 7616 10042 12544 13328 15232 20084 26656 30464 35147 40168 53312 70294 80336 85357 106624 140588 160672 170714 213248 246029 281176 321344 341428 492058 562352 597499 642688 682856 984116 1124704 1194998 1285376 1365712 1968232 2249408 2389996 2731424 3936464 4182493 4498816 4779992 5462848 7872928 8364986 8997632 9559984 10925696 15745856 16729972 19119968 21851392 31491712 33459944 38239936 62983424 66919888 76479872 133839776 152959744 267679552 535359104 1070718208