Search a number
-
+
68785024 = 277211997
BaseRepresentation
bin1000001100110…
…01001110000000
311210102122022111
410012121032000
5120102110044
610454145104
71463443300
oct406311600
9153378274
1068785024
1135911230
121b052194
13113347c9
1491c7600
15608ab34
hex4199380

68785024 has 96 divisors (see below), whose sum is σ = 174071160. Its totient is φ = 26772480.

The previous prime is 68784979. The next prime is 68785027. The reversal of 68785024 is 42058786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68785027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68494 + ... + 69490.

Almost surely, 268785024 is an apocalyptic number.

68785024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68785024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87035580).

68785024 is an abundant number, since it is smaller than the sum of its proper divisors (105286136).

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

68785024 is a wasteful number, since it uses less digits than its factorization.

68785024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 68785024 is about 8293.6737336358. The cubic root of 68785024 is about 409.7301893285.

The spelling of 68785024 in words is "sixty-eight million, seven hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 997 1078 1232 1408 1568 1994 2156 2464 3136 3988 4312 4928 6272 6979 7976 8624 9856 10967 13958 15952 17248 21934 27916 31904 34496 43868 48853 55832 63808 68992 76769 87736 97706 111664 127616 153538 175472 195412 223328 307076 350944 390824 446656 537383 614152 701888 781648 893312 1074766 1228304 1403776 1563296 2149532 2456608 3126592 4299064 4913216 6253184 8598128 9826432 17196256 34392512 68785024