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68015700 = 223752311
BaseRepresentation
bin1000000110111…
…01011001010100
311201222120000000
410003131121110
5114403000300
610425451300
71454060334
oct403353124
9151876000
1068015700
1135436225
121a940b30
131112559c
1490670c4
155e87c00
hex40dd654

68015700 has 144 divisors (see below), whose sum is σ = 222069120. Its totient is φ = 18079200.

The previous prime is 68015677. The next prime is 68015707. The reversal of 68015700 is 751086.

It is a super-2 number, since 2×680157002 = 9252270892980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68015707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218545 + ... + 218855.

Almost surely, 268015700 is an apocalyptic number.

68015700 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 68015700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111034560).

68015700 is an abundant number, since it is smaller than the sum of its proper divisors (154053420).

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

68015700 is a wasteful number, since it uses less digits than its factorization.

68015700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 68015700 is about 8247.1631486227. The cubic root of 68015700 is about 408.1969205123.

Adding to 68015700 its reverse (751086), we get a palindrome (68766786).

The spelling of 68015700 in words is "sixty-eight million, fifteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 311 324 405 450 486 540 622 675 729 810 900 933 972 1215 1244 1350 1458 1555 1620 1866 2025 2187 2430 2700 2799 2916 3110 3645 3732 4050 4374 4665 4860 5598 6075 6220 7290 7775 8100 8397 8748 9330 10935 11196 12150 13995 14580 15550 16794 18225 18660 21870 23325 24300 25191 27990 31100 33588 36450 41985 43740 46650 50382 54675 55980 69975 72900 75573 83970 93300 100764 109350 125955 139950 151146 167940 209925 218700 226719 251910 279900 302292 377865 419850 453438 503820 629775 680157 755730 839700 906876 1133595 1259550 1360314 1511460 1889325 2267190 2519100 2720628 3400785 3778650 4534380 5667975 6801570 7557300 11335950 13603140 17003925 22671900 34007850 68015700