Search a number
-
+
68948112 = 24319223173
BaseRepresentation
bin1000001110000…
…01000010010000
311210201221000210
410013001002100
5120122314422
610501444120
71465022622
oct407010220
9153657023
1068948112
1135a12812
121b110640
1311390acc
14922ac12
1560be10c
hex41c1090

68948112 has 120 divisors (see below), whose sum is σ = 197290944. Its totient is φ = 20706048.

The previous prime is 68948083. The next prime is 68948137. The reversal of 68948112 is 21184986.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 398458 + ... + 398630.

Almost surely, 268948112 is an apocalyptic number.

It is a pronic number, being equal to 8303×8304.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68948112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98645472).

68948112 is an abundant number, since it is smaller than the sum of its proper divisors (128342832).

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

68948112 is a wasteful number, since it uses less digits than its factorization.

68948112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 68948112 is about 8303.4999849461. The cubic root of 68948112 is about 410.0537546018.

The spelling of 68948112 in words is "sixty-eight million, nine hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 173 184 228 276 304 346 361 368 437 456 519 552 692 722 874 912 1038 1083 1104 1311 1384 1444 1748 2076 2166 2622 2768 2888 3287 3496 3979 4152 4332 5244 5776 6574 6992 7958 8303 8304 8664 9861 10488 11937 13148 15916 16606 17328 19722 20976 23874 24909 26296 31832 33212 39444 47748 49818 52592 62453 63664 66424 75601 78888 95496 99636 124906 132848 151202 157776 187359 190992 199272 226803 249812 302404 374718 398544 453606 499624 604808 749436 907212 999248 1209616 1436419 1498872 1814424 2872838 2997744 3628848 4309257 5745676 8618514 11491352 17237028 22982704 34474056 68948112