Search a number
-
+
1088803968 = 27371921319
BaseRepresentation
bin100000011100101…
…1101010010000000
32210212202222020220
41000321131102000
54212213211333
6300012503040
735660452410
oct10071352200
92725688226
101088803968
1150966859a
1226477aa80
13144760905
14a4866640
15658c38b3
hex40e5d480

1088803968 has 128 divisors (see below), whose sum is σ = 3479424000. Its totient is φ = 294700032.

The previous prime is 1088803829. The next prime is 1088803999. The reversal of 1088803968 is 8693088801.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1088803968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40413 + ... + 61731.

It is an arithmetic number, because the mean of its divisors is an integer number (27183000).

Almost surely, 21088803968 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 1088803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739712000).

1088803968 is an abundant number, since it is smaller than the sum of its proper divisors (2390620032).

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

1088803968 is a wasteful number, since it uses less digits than its factorization.

1088803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21362 (or 21350 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 1088803968 is about 32997.0296845034. The cubic root of 1088803968 is about 1028.7659106677.

The spelling of 1088803968 in words is "one billion, eighty-eight million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 21319 25536 42638 51072 63957 85276 127914 149233 170552 255828 298466 341104 405061 447699 511656 596932 682208 810122 895398 1023312 1193864 1215183 1364416 1620244 1790796 2046624 2387728 2430366 2728832 2835427 3240488 3581592 4093248 4775456 4860732 5670854 6480976 7163184 8186496 8506281 9550912 9721464 11341708 12961952 14326368 17012562 19101824 19442928 22683416 25923904 28652736 34025124 38885856 45366832 51847808 57305472 68050248 77771712 90733664 136100496 155543424 181467328 272200992 362934656 544401984 1088803968