Search a number
-
+
1068706944 = 27327911743
BaseRepresentation
bin111111101100110…
…010110010000000
32202110221221022200
4333230302302000
54142042110234
6254014033200
735324600454
oct7754626200
92673857280
101068706944
114a9291388
12259aa8800
13140545296
14a1d14664
1563c53d99
hex3fb32c80

1068706944 has 96 divisors (see below), whose sum is σ = 3114508800. Its totient is φ = 351696384.

The previous prime is 1068706939. The next prime is 1068706949. The reversal of 1068706944 is 4496078601.

1068706944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1068706939) and next prime (1068706949).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10687069443 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1068706944.

It is not an unprimeable number, because it can be changed into a prime (1068706949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85137 + ... + 96879.

It is an arithmetic number, because the mean of its divisors is an integer number (32442800).

Almost surely, 21068706944 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 1068706944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557254400).

1068706944 is an abundant number, since it is smaller than the sum of its proper divisors (2045801856).

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

1068706944 is a wasteful number, since it uses less digits than its factorization.

1068706944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842 (or 11827 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1068706944 is about 32691.0835550001. The cubic root of 1068706944 is about 1022.3969465109.

The spelling of 1068706944 in words is "one billion, sixty-eight million, seven hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2528 2844 3792 5056 5688 7584 10112 11376 11743 15168 22752 23486 30336 35229 45504 46972 70458 91008 93944 105687 140916 187888 211374 281832 375776 422748 563664 751552 845496 927697 1127328 1503104 1690992 1855394 2254656 2783091 3381984 3710788 4509312 5566182 6763968 7421576 8349273 11132364 13527936 14843152 16698546 22264728 29686304 33397092 44529456 59372608 66794184 89058912 118745216 133588368 178117824 267176736 356235648 534353472 1068706944