Search a number
-
+
68658072 = 23373491171
BaseRepresentation
bin1000001011110…
…10001110011000
311210012012011120
410011322032120
5120034024242
610451325240
71462404210
oct405721630
9153165146
1068658072
113583490a
121abb0820
13112bbaa2
149193240
1560631ec
hex417a398

68658072 has 64 divisors (see below), whose sum is σ = 196896000. Its totient is φ = 19543680.

The previous prime is 68658041. The next prime is 68658089. The reversal of 68658072 is 27085686.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 58047 + ... + 59217.

It is an arithmetic number, because the mean of its divisors is an integer number (3076500).

Almost surely, 268658072 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 68658072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98448000).

68658072 is an abundant number, since it is smaller than the sum of its proper divisors (128237928).

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

68658072 is a wasteful number, since it uses less digits than its factorization.

68658072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 68658072 is about 8286.0166545814. The cubic root of 68658072 is about 409.4779633947.

The spelling of 68658072 in words is "sixty-eight million, six hundred fifty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 349 698 1047 1171 1396 2094 2342 2443 2792 3513 4188 4684 4886 7026 7329 8197 8376 9368 9772 14052 14658 16394 19544 24591 28104 29316 32788 49182 58632 65576 98364 196728 408679 817358 1226037 1634716 2452074 2860753 3269432 4904148 5721506 8582259 9808296 11443012 17164518 22886024 34329036 68658072