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68652144 = 24331114447
BaseRepresentation
bin1000001011110…
…00110001110000
311210011220001000
410011320301300
5120033332034
610451242000
71462351011
oct405706160
9153156030
1068652144
1135830410
121aba9300
13112b9192
149191008
156061599
hex4178c70

68652144 has 80 divisors (see below), whose sum is σ = 214986240. Its totient is φ = 20802240.

The previous prime is 68652127. The next prime is 68652151. The reversal of 68652144 is 44125686.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68652099 and 68652108.

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, 2472 + ... + 11975.

It is an arithmetic number, because the mean of its divisors is an integer number (2687328).

Almost surely, 268652144 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 68652144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107493120).

68652144 is an abundant number, since it is smaller than the sum of its proper divisors (146334096).

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

68652144 is a wasteful number, since it uses less digits than its factorization.

68652144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14463 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 68652144 is about 8285.6589357757. The cubic root of 68652144 is about 409.4661781563.

It can be divided in two parts, 6865 and 2144, that added together give a palindrome (9009).

The spelling of 68652144 in words is "sixty-eight million, six hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 14447 28894 43341 57788 86682 115576 130023 158917 173364 231152 260046 317834 346728 390069 476751 520092 635668 693456 780138 953502 1040184 1271336 1430253 1560276 1907004 2080368 2542672 2860506 3120552 3814008 4290759 5721012 6241104 7628016 8581518 11442024 17163036 22884048 34326072 68652144