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68010360 = 23351167769
BaseRepresentation
bin1000000110111…
…00000101111000
311201222021200020
410003130011320
5114402312420
610425410440
71454035635
oct403340570
9151867606
1068010360
1135432210
121a939a20
1311123022
14906518c
155e86340
hex40dc178

68010360 has 128 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 16220160.

The previous prime is 68010343. The next prime is 68010361. The reversal of 68010360 is 6301086.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 68010360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68010361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88056 + ... + 88824.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 268010360 is an apocalyptic number.

68010360 is a gapful number since it is divisible by the number (60) 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 68010360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

68010360 is an abundant number, since it is smaller than the sum of its proper divisors (158184840).

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

68010360 is a wasteful number, since it uses less digits than its factorization.

68010360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 68010360 is about 8246.8393945802. The cubic root of 68010360 is about 408.1862375445.

The spelling of 68010360 in words is "sixty-eight million, ten thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 769 804 1005 1320 1340 1474 1538 1608 2010 2211 2307 2680 2948 3076 3685 3845 4020 4422 4614 5896 6152 7370 7690 8040 8459 8844 9228 11055 11535 14740 15380 16918 17688 18456 22110 23070 25377 29480 30760 33836 42295 44220 46140 50754 51523 67672 84590 88440 92280 101508 103046 126885 154569 169180 203016 206092 253770 257615 309138 338360 412184 507540 515230 566753 618276 772845 1015080 1030460 1133506 1236552 1545690 1700259 2060920 2267012 2833765 3091380 3400518 4534024 5667530 6182760 6801036 8501295 11335060 13602072 17002590 22670120 34005180 68010360