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68329440 = 2533515817
BaseRepresentation
bin1000001001010…
…01111111100000
311202120111101000
410010221333200
5114443020230
610440312000
71456535124
oct404517740
9152514330
1068329440
113562aa13
121aa72600
131120532a
149109584
155eeab60
hex4129fe0

68329440 has 96 divisors (see below), whose sum is σ = 239168160. Its totient is φ = 18220032.

The previous prime is 68329439. The next prime is 68329441. The reversal of 68329440 is 4492386.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68329439) and next prime (68329441).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 68329395 and 68329404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68329441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3589 + ... + 12228.

It is an arithmetic number, because the mean of its divisors is an integer number (2491335).

Almost surely, 268329440 is an apocalyptic number.

68329440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68329440 is an abundant number, since it is smaller than the sum of its proper divisors (170838720).

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

68329440 is a wasteful number, since it uses less digits than its factorization.

68329440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15841 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68329440 is about 8266.1623502082. The cubic root of 68329440 is about 408.8235958720.

The spelling of 68329440 in words is "sixty-eight million, three hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 15817 31634 47451 63268 79085 94902 126536 142353 158170 189804 237255 253072 284706 316340 379608 427059 474510 506144 569412 632680 711765 759216 854118 949020 1138824 1265360 1423530 1518432 1708236 1898040 2135295 2277648 2530720 2847060 3416472 3796080 4270590 4555296 5694120 6832944 7592160 8541180 11388240 13665888 17082360 22776480 34164720 68329440