Search a number
-
+
68517936 = 24323115349
BaseRepresentation
bin1000001010110…
…00000000110000
311202221001221100
410011120000300
5120020033221
610444324400
71461251514
oct405300060
9152831840
1068517936
11357495a3
121ab43700
1311270076
149158144
156036926
hex4158030

68517936 has 60 divisors (see below), whose sum is σ = 197953600. Its totient is φ = 22101120.

The previous prime is 68517931. The next prime is 68517941. The reversal of 68517936 is 63971586.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68517931) and next prime (68517941).

It is a junction number, because it is equal to n+sod(n) for n = 68517891 and 68517900.

It is not an unprimeable number, because it can be changed into a prime (68517931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3211 + ... + 12138.

Almost surely, 268517936 is an apocalyptic number.

It is an amenable number.

68517936 is an abundant number, since it is smaller than the sum of its proper divisors (129435664).

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

68517936 is a wasteful number, since it uses less digits than its factorization.

68517936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15394 (or 15385 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 68517936 is about 8277.5561610901. The cubic root of 68517936 is about 409.1991824386.

The spelling of 68517936 in words is "sixty-eight million, five hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 15349 30698 46047 61396 92094 122792 138141 184188 245584 276282 368376 475819 552564 736752 951638 1105128 1427457 1903276 2210256 2854914 3806552 4282371 5709828 7613104 8564742 11419656 17129484 22839312 34258968 68517936