Search a number
-
+
68131206 = 234111317173
BaseRepresentation
bin1000000111110…
…01100110000110
311202012102110000
410003321212012
5114420144311
610432142130
71455051153
oct403714606
9152172400
1068131206
1135504a90
121a997946
1311166030
14909722a
155eac056
hex40f9986

68131206 has 160 divisors (see below), whose sum is σ = 191001888. Its totient is φ = 17832960.

The previous prime is 68131201. The next prime is 68131241. The reversal of 68131206 is 60213186.

It is a super-2 number, since 2×681312062 = 9283722462028872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 68131206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68131201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393736 + ... + 393908.

Almost surely, 268131206 is an apocalyptic number.

68131206 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68131206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95500944).

68131206 is an abundant number, since it is smaller than the sum of its proper divisors (122870682).

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

68131206 is a wasteful number, since it uses less digits than its factorization.

68131206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68131206 is about 8254.1629496879. The cubic root of 68131206 is about 408.4278599800.

The spelling of 68131206 in words is "sixty-eight million, one hundred thirty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 81 99 102 117 143 153 162 173 187 198 221 234 286 297 306 346 351 374 429 442 459 519 561 594 663 702 858 891 918 1038 1053 1122 1287 1326 1377 1557 1683 1782 1903 1989 2106 2249 2431 2574 2754 2941 3114 3366 3806 3861 3978 4498 4671 4862 5049 5709 5882 5967 6747 7293 7722 8823 9342 10098 11418 11583 11934 13494 14013 14586 15147 17127 17646 17901 20241 21879 23166 24739 26469 28026 30294 32351 34254 35802 38233 40482 43758 49478 51381 52938 60723 64702 65637 74217 76466 79407 97053 102762 114699 121446 131274 148434 154143 158814 182169 194106 196911 222651 229398 238221 291159 308286 344097 364338 393822 420563 445302 476442 582318 667953 688194 841126 873477 1032291 1261689 1335906 1746954 2003859 2064582 2523378 2620431 3096873 3785067 4007718 5240862 6193746 7570134 11355201 22710402 34065603 68131206