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68024016 = 2433532971
BaseRepresentation
bin1000000110111…
…11011011010000
311201222222102000
410003133123100
5114403232031
610425554000
71454123514
oct403373320
9151888360
1068024016
11354414a5
121a945900
13111292c8
14906a144
155e8a3e6
hex40df6d0

68024016 has 80 divisors (see below), whose sum is σ = 199005120. Its totient is φ = 22239360.

The previous prime is 68024003. The next prime is 68024017. The reversal of 68024016 is 61042086.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68024017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21411 + ... + 24381.

It is an arithmetic number, because the mean of its divisors is an integer number (2487564).

Almost surely, 268024016 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 68024016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99502560).

68024016 is an abundant number, since it is smaller than the sum of its proper divisors (130981104).

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

68024016 is a wasteful number, since it uses less digits than its factorization.

68024016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68024016 is about 8247.6673065783. The cubic root of 68024016 is about 408.2135560207.

The spelling of 68024016 in words is "sixty-eight million, twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 2971 3816 5724 5942 7632 8913 11448 11884 17826 22896 23768 26739 35652 47536 53478 71304 80217 106956 142608 157463 160434 213912 314926 320868 427824 472389 629852 641736 944778 1259704 1283472 1417167 1889556 2519408 2834334 3779112 4251501 5668668 7558224 8503002 11337336 17006004 22674672 34012008 68024016