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1068267648 = 27371133517
BaseRepresentation
bin111111101011000…
…111100010000000
32202110010121201110
4333223013202000
54141434031043
6254000403320
735321060640
oct7753074200
92673117643
101068267648
114a9011328
12259916540
13140420346
14a1c3c520
1563bb8b33
hex3fac7880

1068267648 has 128 divisors (see below), whose sum is σ = 3272584320. Its totient is φ = 302432256.

The previous prime is 1068267617. The next prime is 1068267649. The reversal of 1068267648 is 8467628601.

1068267648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10682676482 = 2282391535526903808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1068267597 and 1068267606.

It is not an unprimeable number, because it can be changed into a prime (1068267649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301986 + ... + 305502.

It is an arithmetic number, because the mean of its divisors is an integer number (25567065).

Almost surely, 21068267648 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 1068267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636292160).

1068267648 is an abundant number, since it is smaller than the sum of its proper divisors (2204316672).

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

1068267648 is a wasteful number, since it uses less digits than its factorization.

1068267648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 1068267648 is about 32684.3639681117. The cubic root of 1068267648 is about 1022.2568406115.

The spelling of 1068267648 in words is "one billion, sixty-eight million, two hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 336 339 384 448 452 672 678 791 896 904 1344 1356 1582 1808 2373 2688 2712 3164 3517 3616 4746 5424 6328 7034 7232 9492 10551 10848 12656 14068 14464 18984 21102 21696 24619 25312 28136 37968 42204 43392 49238 50624 56272 73857 75936 84408 98476 101248 112544 147714 151872 168816 196952 225088 295428 303744 337632 393904 397421 450176 590856 675264 787808 794842 1181712 1192263 1350528 1575616 1589684 2363424 2384526 2781947 3151232 3179368 4726848 4769052 5563894 6358736 8345841 9453696 9538104 11127788 12717472 16691682 19076208 22255576 25434944 33383364 38152416 44511152 50869888 66766728 76304832 89022304 133533456 152609664 178044608 267066912 356089216 534133824 1068267648