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68409040 = 2457151809
BaseRepresentation
bin1000001001111…
…01011011010000
311202201112120011
410010331123100
5120003042130
610442124304
71460316160
oct404753320
9152645504
1068409040
11356847a7
121aab0694
131123262b
14912a5a0
15601452a
hex413d6d0

68409040 has 80 divisors (see below), whose sum is σ = 183202560. Its totient is φ = 23270400.

The previous prime is 68409013. The next prime is 68409053. The reversal of 68409040 is 4090486.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 68408993 and 68409011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84156 + ... + 84964.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 268409040 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 68409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

68409040 is an abundant number, since it is smaller than the sum of its proper divisors (114793520).

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

68409040 is a wasteful number, since it uses less digits than its factorization.

68409040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 68409040 is about 8270.9757586394. The cubic root of 68409040 is about 408.9822865219.

The spelling of 68409040 in words is "sixty-eight million, four hundred nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 604 755 809 1057 1208 1510 1618 2114 2416 3020 3236 4045 4228 5285 5663 6040 6472 8090 8456 10570 11326 12080 12944 16180 16912 21140 22652 28315 32360 42280 45304 56630 64720 84560 90608 113260 122159 226520 244318 453040 488636 610795 855113 977272 1221590 1710226 1954544 2443180 3420452 4275565 4886360 6840904 8551130 9772720 13681808 17102260 34204520 68409040