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68067540 = 2234542017
BaseRepresentation
bin1000000111010…
…10000011010100
311202002012010000
410003222003110
5114411130130
610430531300
71454364432
oct403520324
9152065100
1068067540
1135471172
121a966b30
1311143068
14907bd52
155e98260
hex40ea0d4

68067540 has 60 divisors (see below), whose sum is σ = 213535476. Its totient is φ = 18150912.

The previous prime is 68067523. The next prime is 68067551. The reversal of 68067540 is 4576086.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 52099524 = 3996^2 + 7218^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 68067495 and 68067504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19389 + ... + 22628.

Almost surely, 268067540 is an apocalyptic number.

68067540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68067540 is an abundant number, since it is smaller than the sum of its proper divisors (145467936).

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

68067540 is a wasteful number, since it uses less digits than its factorization.

68067540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42038 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68067540 is about 8250.3054488910. The cubic root of 68067540 is about 408.3006002730.

The spelling of 68067540 in words is "sixty-eight million, sixty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 42017 84034 126051 168068 210085 252102 378153 420170 504204 630255 756306 840340 1134459 1260510 1512612 1890765 2268918 2521020 3403377 3781530 4537836 5672295 6806754 7563060 11344590 13613508 17016885 22689180 34033770 68067540