Search a number
-
+
77069718 = 2341161709
BaseRepresentation
bin1001001011111…
…11110110010110
312101000112210000
410211333312112
5124212212333
611351512130
71624040025
oct445776626
9171015700
1077069718
113a55a690
1221988646
1312c756ab
14a3428bc
156b75713
hex497fd96

77069718 has 80 divisors (see below), whose sum is σ = 191751120. Its totient is φ = 22939200.

The previous prime is 77069683. The next prime is 77069731. The reversal of 77069718 is 81796077.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108348 + ... + 109056.

It is an arithmetic number, because the mean of its divisors is an integer number (2396889).

Almost surely, 277069718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77069718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95875560).

77069718 is an abundant number, since it is smaller than the sum of its proper divisors (114681402).

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

77069718 is a wasteful number, since it uses less digits than its factorization.

77069718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 77069718 is about 8778.9360403183. The cubic root of 77069718 is about 425.5604472342.

It can be divided in two parts, 7706 and 9718, that added together give a square (17424 = 1322).

The spelling of 77069718 in words is "seventy-seven million, sixty-nine thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 162 183 198 297 366 549 594 671 709 891 1098 1342 1418 1647 1782 2013 2127 3294 4026 4254 4941 6039 6381 7799 9882 12078 12762 15598 18117 19143 23397 36234 38286 43249 46794 54351 57429 70191 86498 108702 114858 129747 140382 210573 259494 389241 421146 475739 631719 778482 951478 1167723 1263438 1427217 2335446 2854434 3503169 4281651 7006338 8563302 12844953 25689906 38534859 77069718