Search a number
-
+
68411040 = 2535359397
BaseRepresentation
bin1000001001111…
…01111010100000
311202201122022020
410010331322200
5120003123130
610442141440
71460325045
oct404757240
9152648266
1068411040
1135686255
121aab1880
1311233509
14912b1cc
156014e10
hex413dea0

68411040 has 96 divisors (see below), whose sum is σ = 216639360. Its totient is φ = 18146304.

The previous prime is 68411027. The next prime is 68411041. The reversal of 68411040 is 4011486.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 68411040.

It is not an unprimeable number, because it can be changed into a prime (68411041) 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, 172122 + ... + 172518.

It is an arithmetic number, because the mean of its divisors is an integer number (2256660).

Almost surely, 268411040 is an apocalyptic number.

68411040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108319680).

68411040 is an abundant number, since it is smaller than the sum of its proper divisors (148228320).

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

68411040 is a wasteful number, since it uses less digits than its factorization.

68411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 68411040 is about 8271.0966624747. The cubic root of 68411040 is about 408.9862721384.

The spelling of 68411040 in words is "sixty-eight million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 359 397 480 718 794 1077 1191 1436 1588 1795 1985 2154 2382 2872 3176 3590 3970 4308 4764 5385 5744 5955 6352 7180 7940 8616 9528 10770 11488 11910 12704 14360 15880 17232 19056 21540 23820 28720 31760 34464 38112 43080 47640 57440 63520 86160 95280 142523 172320 190560 285046 427569 570092 712615 855138 1140184 1425230 1710276 2137845 2280368 2850460 3420552 4275690 4560736 5700920 6841104 8551380 11401840 13682208 17102760 22803680 34205520 68411040