Search a number
-
+
68886220 = 22513534999
BaseRepresentation
bin1000001101100…
…01111011001100
311210121210010111
410012301323030
5120113324340
610500245404
71464344314
oct406617314
9153553114
1068886220
1135980267
121b0a0864
131136b8a0
149212444
1560aaaea
hex41b1ecc

68886220 has 48 divisors (see below), whose sum is σ = 158760000. Its totient is φ = 24950016.

The previous prime is 68886157. The next prime is 68886239. The reversal of 68886220 is 2268886.

68886220 = T56 + T57 + ... + T744.

It is a super-2 number, since 2×688862202 = 9490622611776800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11281 + ... + 16279.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 268886220 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 68886220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380000).

68886220 is an abundant number, since it is smaller than the sum of its proper divisors (89873780).

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

68886220 is a wasteful number, since it uses less digits than its factorization.

68886220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 68886220 is about 8299.7722860329. The cubic root of 68886220 is about 409.9310215109.

The spelling of 68886220 in words is "sixty-eight million, eight hundred eighty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 4999 6890 9998 13780 19996 24995 49990 64987 99980 129974 259948 264947 324935 529894 649870 1059788 1299740 1324735 2649470 3444311 5298940 6888622 13777244 17221555 34443110 68886220