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1068870168 = 233423292473
BaseRepresentation
bin111111101101011…
…010101000011000
32202111021020020000
4333231122220120
54142112321133
6254021333000
735326150362
oct7755325030
92674236200
101068870168
114a9392a83
12259b67160
131405a1672
14a1d57d32
1563c87413
hex3fb5aa18

1068870168 has 160 divisors (see below), whose sum is σ = 3233023200. Its totient is φ = 328914432.

The previous prime is 1068870163. The next prime is 1068870169. The reversal of 1068870168 is 8610788601.

It is a super-2 number, since 2×10688701682 = 2284966872080696448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068870163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 430980 + ... + 433452.

It is an arithmetic number, because the mean of its divisors is an integer number (20206395).

Almost surely, 21068870168 is an apocalyptic number.

1068870168 is a gapful number since it is divisible by the number (18) 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 1068870168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616511600).

1068870168 is an abundant number, since it is smaller than the sum of its proper divisors (2164153032).

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

1068870168 is a wasteful number, since it uses less digits than its factorization.

1068870168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1068870168 is about 32693.5799202229. The cubic root of 1068870168 is about 1022.4489942136.

The spelling of 1068870168 in words is "one billion, sixty-eight million, eight hundred seventy thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 81 87 92 108 116 138 162 174 184 207 216 232 261 276 324 348 414 522 552 621 648 667 696 783 828 1044 1242 1334 1566 1656 1863 2001 2088 2349 2473 2484 2668 3132 3726 4002 4698 4946 4968 5336 6003 6264 7419 7452 8004 9396 9892 12006 14838 14904 16008 18009 18792 19784 22257 24012 29676 36018 44514 48024 54027 56879 59352 66771 71717 72036 89028 108054 113758 133542 143434 144072 170637 178056 200313 215151 216108 227516 267084 286868 341274 400626 430302 432216 455032 511911 534168 573736 645453 682548 801252 860604 1023822 1290906 1365096 1535733 1602504 1649491 1721208 1936359 2047644 2581812 3071466 3298982 3872718 4095288 4607199 4948473 5163624 5809077 6142932 6597964 7745436 9214398 9896946 11618154 12285864 13195928 14845419 15490872 18428796 19793892 23236308 29690838 36857592 39587784 44536257 46472616 59381676 89072514 118763352 133608771 178145028 267217542 356290056 534435084 1068870168