Search a number
-
+
68345920 = 265434967
BaseRepresentation
bin1000001001011…
…10000001000000
311202121022222101
410010232001000
5114444032140
610440520144
71456634146
oct404560100
9152538871
1068345920
1135641335
121aa80054
131120c996
149111596
15600099a
hex412e040

68345920 has 56 divisors (see below), whose sum is σ = 166567104. Its totient is φ = 26697216.

The previous prime is 68345911. The next prime is 68345951. The reversal of 68345920 is 2954386.

It is a self number, because there is not a number n which added to its sum of digits gives 68345920.

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 7 ways as a sum of consecutive naturals, for example, 11277 + ... + 16243.

Almost surely, 268345920 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 68345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83283552).

68345920 is an abundant number, since it is smaller than the sum of its proper divisors (98221184).

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

68345920 is a wasteful number, since it uses less digits than its factorization.

68345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 68345920 is about 8267.1591251167. The cubic root of 68345920 is about 408.8564605312.

The spelling of 68345920 in words is "sixty-eight million, three hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 4967 6880 9934 13760 19868 24835 39736 49670 79472 99340 158944 198680 213581 317888 397360 427162 794720 854324 1067905 1589440 1708648 2135810 3417296 4271620 6834592 8543240 13669184 17086480 34172960 68345920