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68529440 = 255728741
BaseRepresentation
bin1000001010110…
…10110100100000
311202221122201102
410011122310200
5120020420230
610444453532
71461330200
oct405326440
9152848642
1068529440
1135757201
121ab4a2a8
1311275385
14915c400
15603a045
hex415ad20

68529440 has 72 divisors (see below), whose sum is σ = 188355132. Its totient is φ = 23493120.

The previous prime is 68529427. The next prime is 68529449. The reversal of 68529440 is 4492586.

It can be written as a sum of positive squares in 2 ways, for example, as 64577296 + 3952144 = 8036^2 + 1988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 68529394 and 68529403.

It is not an unprimeable number, because it can be changed into a prime (68529449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3470 + ... + 12210.

Almost surely, 268529440 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 68529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94177566).

68529440 is an abundant number, since it is smaller than the sum of its proper divisors (119825692).

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

68529440 is a wasteful number, since it uses less digits than its factorization.

68529440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 68529440 is about 8278.2510230120. The cubic root of 68529440 is about 409.2220823499. Note that the first 3 decimals are identical.

The spelling of 68529440 in words is "sixty-eight million, five hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 8741 17482 34964 43705 61187 69928 87410 122374 139856 174820 244748 279712 305935 349640 428309 489496 611870 699280 856618 978992 1223740 1398560 1713236 1957984 2141545 2447480 3426472 4283090 4894960 6852944 8566180 9789920 13705888 17132360 34264720 68529440