Search a number
-
+
68676540 = 223510910501
BaseRepresentation
bin1000001011111…
…10101110111100
311210020010111120
410011332232330
5120040122130
610451550540
71462512102
oct405765674
9153203446
1068676540
1135847779
121abbb450
13112c730a
149199c72
156068910
hex417ebbc

68676540 has 48 divisors (see below), whose sum is σ = 194076960. Its totient is φ = 18144000.

The previous prime is 68676529. The next prime is 68676557. The reversal of 68676540 is 4567686.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 68676492 and 68676501.

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, 1290 + ... + 11790.

It is an arithmetic number, because the mean of its divisors is an integer number (4043270).

Almost surely, 268676540 is an apocalyptic number.

68676540 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 68676540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97038480).

68676540 is an abundant number, since it is smaller than the sum of its proper divisors (125400420).

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

68676540 is a wasteful number, since it uses less digits than its factorization.

68676540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 68676540 is about 8287.1309872597. The cubic root of 68676540 is about 409.5146745969.

The spelling of 68676540 in words is "sixty-eight million, six hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 10501 21002 31503 42004 52505 63006 105010 126012 157515 210020 315030 630060 1144609 2289218 3433827 4578436 5723045 6867654 11446090 13735308 17169135 22892180 34338270 68676540