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1068160620 = 2235192513733
BaseRepresentation
bin111111101010101…
…101011001101100
32202102221011220110
4333222231121230
54141422114440
6253554220020
735320133622
oct7752553154
92672834813
101068160620
114a8a4897a
12259884610
131403b3707
14a1c11512
1563b97080
hex3faad66c

1068160620 has 96 divisors (see below), whose sum is σ = 3161652480. Its totient is φ = 268704000.

The previous prime is 1068160589. The next prime is 1068160663. The reversal of 1068160620 is 260618601.

It is a super-2 number, since 2×10681606202 = 2281934220237568800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 284274 + ... + 288006.

It is an arithmetic number, because the mean of its divisors is an integer number (32933880).

Almost surely, 21068160620 is an apocalyptic number.

1068160620 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 1068160620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580826240).

1068160620 is an abundant number, since it is smaller than the sum of its proper divisors (2093491860).

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

1068160620 is a wasteful number, since it uses less digits than its factorization.

1068160620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1068160620 is about 32682.7266304389. The cubic root of 1068160620 is about 1022.2227000540. Note that the first 3 decimals are identical.

The spelling of 1068160620 in words is "one billion, sixty-eight million, one hundred sixty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 251 285 380 502 570 753 1004 1140 1255 1506 2510 3012 3733 3765 4769 5020 7466 7530 9538 11199 14307 14932 15060 18665 19076 22398 23845 28614 37330 44796 47690 55995 57228 70927 71535 74660 95380 111990 141854 143070 212781 223980 283708 286140 354635 425562 709270 851124 936983 1063905 1418540 1873966 2127810 2810949 3747932 4255620 4684915 5621898 9369830 11243796 14054745 17802677 18739660 28109490 35605354 53408031 56218980 71210708 89013385 106816062 178026770 213632124 267040155 356053540 534080310 1068160620