Search a number
-
+
1268046208 = 2711132732
BaseRepresentation
bin100101110010100…
…1101100110000000
310021101001102101101
41023211031212000
510044104434313
6325454344144
743265133502
oct11345154600
93241042341
101268046208
115a0862980
122b47bb054
1317292a900
14c05a3d72
15764cc5dd
hex4b94d980

1268046208 has 144 divisors (see below), whose sum is σ = 3025571940. Its totient is φ = 524759040.

The previous prime is 1268046191. The next prime is 1268046211. The reversal of 1268046208 is 8026408621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17370460 + ... + 17370532.

Almost surely, 21268046208 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 1268046208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512785970).

1268046208 is an abundant number, since it is smaller than the sum of its proper divisors (1757525732).

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

1268046208 is an equidigital number, since it uses as much as digits as its factorization.

1268046208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1268046208 is about 35609.6364485795. The cubic root of 1268046208 is about 1082.3765133900.

The spelling of 1268046208 in words is "one billion, two hundred sixty-eight million, forty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 128 143 146 169 176 208 286 292 338 352 416 572 584 676 704 803 832 949 1144 1168 1352 1408 1606 1664 1859 1898 2288 2336 2704 3212 3718 3796 4576 4672 5329 5408 6424 7436 7592 9152 9344 10439 10658 10816 12337 12848 14872 15184 18304 20878 21316 21632 24674 25696 29744 30368 41756 42632 49348 51392 58619 59488 60736 69277 83512 85264 98696 102784 117238 118976 121472 135707 138554 167024 170528 197392 234476 237952 271414 277108 334048 341056 394784 468952 542828 554216 668096 682112 762047 789568 900601 937904 1085656 1108432 1336192 1524094 1579136 1801202 1875808 2171312 2216864 3048188 3602404 3751616 4342624 4433728 6096376 7204808 7503232 8685248 8867456 9906611 12192752 14409616 17370496 19813222 24385504 28819232 39626444 48771008 57638464 79252888 97542016 115276928 158505776 317011552 634023104 1268046208