Search a number
-
+
68411772 = 2232111397137
BaseRepresentation
bin1000001001111…
…10000101111100
311202201200022100
410010332011330
5120003134042
610442145100
71460330142
oct404760574
9152650270
1068411772
1135686860
121aab2190
1311233950
14912b592
15601524c
hex413e17c

68411772 has 144 divisors (see below), whose sum is σ = 206754912. Its totient is φ = 18800640.

The previous prime is 68411771. The next prime is 68411773. The reversal of 68411772 is 27711486.

It is an interprime number because it is at equal distance from previous prime (68411771) and next prime (68411773).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68411771) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 499288 + ... + 499424.

It is an arithmetic number, because the mean of its divisors is an integer number (1435798).

Almost surely, 268411772 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 68411772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103377456).

68411772 is an abundant number, since it is smaller than the sum of its proper divisors (138343140).

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

68411772 is a wasteful number, since it uses less digits than its factorization.

68411772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 68411772 is about 8271.1409128366. The cubic root of 68411772 is about 408.9877308547.

The spelling of 68411772 in words is "sixty-eight million, four hundred eleven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 97 99 117 132 137 143 156 194 198 234 274 286 291 388 396 411 429 468 548 572 582 822 858 873 1067 1164 1233 1261 1287 1507 1644 1716 1746 1781 2134 2466 2522 2574 3014 3201 3492 3562 3783 4268 4521 4932 5044 5148 5343 6028 6402 7124 7566 9042 9603 10686 11349 12804 13289 13563 13871 15132 16029 18084 19206 19591 21372 22698 26578 27126 27742 32058 38412 39182 39867 41613 45396 53156 54252 55484 58773 64116 78364 79734 83226 117546 119601 124839 146179 159468 166452 172757 176319 235092 239202 249678 292358 345514 352638 438537 478404 499356 518271 584716 691028 705276 877074 1036542 1315611 1554813 1754148 1900327 2073084 2631222 3109626 3800654 5262444 5700981 6219252 7601308 11401962 17102943 22803924 34205886 68411772