Search a number
-
+
68786112 = 2632391499
BaseRepresentation
bin1000001100110…
…01011111000000
311210102200210210
410012121133000
5120102123422
610454154120
71463446413
oct406313700
9153380723
1068786112
113591202a
121b052940
1311335155
1491c7b7a
15608b10c
hex41997c0

68786112 has 56 divisors (see below), whose sum is σ = 182880000. Its totient is φ = 22817536.

The previous prime is 68786093. The next prime is 68786119. The reversal of 68786112 is 21168786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68786119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45139 + ... + 46637.

Almost surely, 268786112 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 68786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440000).

68786112 is an abundant number, since it is smaller than the sum of its proper divisors (114093888).

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

68786112 is a wasteful number, since it uses less digits than its factorization.

68786112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1743 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 68786112 is about 8293.7393255395. The cubic root of 68786112 is about 409.7323496054.

The spelling of 68786112 in words is "sixty-eight million, seven hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 956 1434 1499 1912 2868 2998 3824 4497 5736 5996 7648 8994 11472 11992 15296 17988 22944 23984 35976 45888 47968 71952 95936 143904 287808 358261 716522 1074783 1433044 2149566 2866088 4299132 5732176 8598264 11464352 17196528 22928704 34393056 68786112