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68456440 = 23513472801
BaseRepresentation
bin1000001010010…
…00111111111000
311202210221120201
410011020333320
5120011101230
610443131544
71460604313
oct405107770
9152727521
1068456440
1135707378
121ab13bb4
131124b090
14913d97a
1560235ca
hex4148ff8

68456440 has 64 divisors (see below), whose sum is σ = 169464960. Its totient is φ = 24729600.

The previous prime is 68456419. The next prime is 68456447. The reversal of 68456440 is 4465486.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 68456440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68456447) 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, 23040 + ... + 25840.

It is an arithmetic number, because the mean of its divisors is an integer number (2647890).

Almost surely, 268456440 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 68456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84732480).

68456440 is an abundant number, since it is smaller than the sum of its proper divisors (101008520).

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

68456440 is a wasteful number, since it uses less digits than its factorization.

68456440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 68456440 is about 8273.8407042921. The cubic root of 68456440 is about 409.0767247458.

The spelling of 68456440 in words is "sixty-eight million, four hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 940 1222 1880 2444 2801 3055 4888 5602 6110 11204 12220 14005 22408 24440 28010 36413 56020 72826 112040 131647 145652 182065 263294 291304 364130 526588 658235 728260 1053176 1316470 1456520 1711411 2632940 3422822 5265880 6845644 8557055 13691288 17114110 34228220 68456440