Search a number
-
+
1069193088 = 27332313451
BaseRepresentation
bin111111101110101…
…001011110000000
32202111212122012000
4333232221132000
54142203134323
6254032304000
735331664005
oct7756513600
92674778160
101069193088
114a9593657
1225a0a2000
13140685642
14a1ddd8ac
1563cece43
hex3fba9780

1069193088 has 128 divisors (see below), whose sum is σ = 3293049600. Its totient is φ = 340876800.

The previous prime is 1069193077. The next prime is 1069193101. The reversal of 1069193088 is 8803919601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10691930882 = 2286347718853951488, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 72763 + ... + 86213.

It is an arithmetic number, because the mean of its divisors is an integer number (25726950).

Almost surely, 21069193088 is an apocalyptic number.

1069193088 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 1069193088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646524800).

1069193088 is an abundant number, since it is smaller than the sum of its proper divisors (2223856512).

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

1069193088 is a wasteful number, since it uses less digits than its factorization.

1069193088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13497 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1069193088 is about 32698.5181315606. The cubic root of 1069193088 is about 1022.5519490268.

The spelling of 1069193088 in words is "one billion, sixty-nine million, one hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6624 8832 9936 13248 13451 19872 26496 26902 39744 40353 53804 79488 80706 107608 121059 161412 215216 242118 309373 322824 363177 430432 484236 618746 645648 726354 860864 928119 968472 1237492 1291296 1452708 1721728 1856238 1936944 2474984 2582592 2784357 2905416 3712476 3873888 4949968 5165184 5568714 5810832 7424952 7747776 8353071 9899936 11137428 11621664 14849904 15495552 16706142 19799872 22274856 23243328 29699808 33412284 39599744 44549712 46486656 59399616 66824568 89099424 118799232 133649136 178198848 267298272 356397696 534596544 1069193088