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68531040 = 2532547591
BaseRepresentation
bin1000001010110…
…11001101100000
311202221201220200
410011123031200
5120020443130
610444505200
71461334644
oct405331540
9152851820
1068531040
1135758426
121ab4b200
1311276016
14915cc24
15603a760
hex415b360

68531040 has 72 divisors (see below), whose sum is σ = 233867088. Its totient is φ = 18274560.

The previous prime is 68531033. The next prime is 68531041. The reversal of 68531040 is 4013586.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 68530995 and 68531013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68531041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22356 + ... + 25235.

It is an arithmetic number, because the mean of its divisors is an integer number (3248154).

Almost surely, 268531040 is an apocalyptic number.

68531040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68531040 is an abundant number, since it is smaller than the sum of its proper divisors (165336048).

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

68531040 is a wasteful number, since it uses less digits than its factorization.

68531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47612 (or 47601 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68531040 is about 8278.3476612184. The cubic root of 68531040 is about 409.2252671137.

The spelling of 68531040 in words is "sixty-eight million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 47591 95182 142773 190364 237955 285546 380728 428319 475910 571092 713865 761456 856638 951820 1142184 1427730 1522912 1713276 1903640 2141595 2284368 2855460 3426552 3807280 4283190 4568736 5710920 6853104 7614560 8566380 11421840 13706208 17132760 22843680 34265520 68531040