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68124160 = 295132389
BaseRepresentation
bin1000000111101…
…11111000000000
311202012001210001
410003313320000
5114414433120
610432045344
71455021466
oct403677000
9152161701
1068124160
11354aa765
121a993854
1311162a70
149094836
155ea9e0a
hex40f7e00

68124160 has 160 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 23789568.

The previous prime is 68124157. The next prime is 68124179. The reversal of 68124160 is 6142186.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 765396 + ... + 765484.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 268124160 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 68124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

68124160 is an abundant number, since it is smaller than the sum of its proper divisors (117488960).

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

68124160 is a wasteful number, since it uses less digits than its factorization.

68124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 68124160 is about 8253.7361237200. The cubic root of 68124160 is about 408.4137798833.

The spelling of 68124160 in words is "sixty-eight million, one hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 89 92 104 115 128 130 160 178 184 208 230 256 260 299 320 356 368 416 445 460 512 520 598 640 712 736 832 890 920 1040 1157 1196 1280 1424 1472 1495 1664 1780 1840 2047 2080 2314 2392 2560 2848 2944 2990 3328 3560 3680 4094 4160 4628 4784 5696 5785 5888 5980 6656 7120 7360 8188 8320 9256 9568 10235 11392 11570 11776 11960 14240 14720 16376 16640 18512 19136 20470 22784 23140 23920 26611 28480 29440 32752 33280 37024 38272 40940 45568 46280 47840 53222 56960 58880 65504 74048 76544 81880 92560 95680 106444 113920 131008 133055 148096 153088 163760 185120 191360 212888 227840 262016 266110 296192 327520 370240 382720 425776 524032 532220 592384 655040 740480 765440 851552 1048064 1064440 1310080 1480960 1703104 2128880 2620160 2961920 3406208 4257760 5240320 6812416 8515520 13624832 17031040 34062080 68124160