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1070191668 = 2237132833463
BaseRepresentation
bin111111110010011…
…101010000110100
32202120202100222110
4333302131100310
54142432113133
6254105531020
735343323220
oct7762352064
92676670873
101070191668
114aa105927
1225a4a3a70
13140945010
14a21bd780
1563e48c63
hex3fc9d434

1070191668 has 96 divisors (see below), whose sum is σ = 3085121536. Its totient is φ = 281169792.

The previous prime is 1070191613. The next prime is 1070191693. The reversal of 1070191668 is 8661910701.

It is a super-2 number, since 2×10701916682 = 2290620412513244448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307305 + ... + 310767.

Almost surely, 21070191668 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 1070191668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542560768).

1070191668 is an abundant number, since it is smaller than the sum of its proper divisors (2014929868).

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

1070191668 is a wasteful number, since it uses less digits than its factorization.

1070191668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 1070191668 is about 32713.7840672705. The cubic root of 1070191668 is about 1022.8701897056.

The spelling of 1070191668 in words is "one billion, seventy million, one hundred ninety-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 283 364 546 566 849 1092 1132 1698 1981 3396 3463 3679 3962 5943 6926 7358 7924 10389 11037 11886 13852 14716 20778 22074 23772 24241 25753 41556 44148 45019 48482 51506 72723 77259 90038 96964 103012 135057 145446 154518 180076 270114 290892 309036 315133 540228 630266 945399 980029 1260532 1890798 1960058 2940087 3781596 3920116 5880174 6860203 11760348 12740377 13720406 20580609 25480754 27440812 38221131 41161218 50961508 76442262 82322436 89182639 152884524 178365278 267547917 356730556 535095834 1070191668