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1068158820 = 2235532571307
BaseRepresentation
bin111111101010101…
…100111101100100
32202102221002102210
4333222230331210
54141422040240
6253554203420
735320125441
oct7752547544
92672832383
101068158820
114a8a47593
12259883570
131403b2951
14a1c109c8
1563b96780
hex3faacf64

1068158820 has 96 divisors (see below), whose sum is σ = 3061473408. Its totient is φ = 278167552.

The previous prime is 1068158803. The next prime is 1068158867. The reversal of 1068158820 is 288518601.

It is a super-2 number, since 2×10681588202 = 2281926529487584800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816607 + ... + 817913.

It is an arithmetic number, because the mean of its divisors is an integer number (31890348).

Almost surely, 21068158820 is an apocalyptic number.

1068158820 is a gapful number since it is divisible by the number (10) 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 1068158820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530736704).

1068158820 is an abundant number, since it is smaller than the sum of its proper divisors (1993314588).

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

1068158820 is a wasteful number, since it uses less digits than its factorization.

1068158820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 1068158820 is about 32682.6990929452. The cubic root of 1068158820 is about 1022.2221258577. Note that the first 3 decimals are identical.

The spelling of 1068158820 in words is "one billion, sixty-eight million, one hundred fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 257 265 318 514 530 636 771 795 1028 1060 1285 1307 1542 1590 2570 2614 3084 3180 3855 3921 5140 5228 6535 7710 7842 13070 13621 15420 15684 19605 26140 27242 39210 40863 54484 68105 69271 78420 81726 136210 138542 163452 204315 207813 272420 277084 335899 346355 408630 415626 671798 692710 817260 831252 1007697 1039065 1343596 1385420 1679495 2015394 2078130 3358990 4030788 4156260 5038485 6717980 10076970 17802647 20153940 35605294 53407941 71210588 89013235 106815882 178026470 213631764 267039705 356052940 534079410 1068158820