Search a number
-
+
109931796 = 223313219317
BaseRepresentation
bin1101000110101…
…10110100010100
321122212010002000
412203112310110
5211120304141
614524115300
72503255602
oct643266424
9248763060
10109931796
1157065427
1230995b30
1319a10300
1410858872
1599b75b6
hex68d6d14

109931796 has 144 divisors (see below), whose sum is σ = 325886400. Its totient is φ = 31943808.

The previous prime is 109931747. The next prime is 109931803. The reversal of 109931796 is 697139901.

It is a congruent number.

It is an unprimeable number.

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, 346630 + ... + 346946.

It is an arithmetic number, because the mean of its divisors is an integer number (2263100).

Almost surely, 2109931796 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 109931796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162943200).

109931796 is an abundant number, since it is smaller than the sum of its proper divisors (215954604).

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

109931796 is a wasteful number, since it uses less digits than its factorization.

109931796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 109931796 is about 10484.8364794116. The cubic root of 109931796 is about 479.0429367473.

The spelling of 109931796 in words is "one hundred nine million, nine hundred thirty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 169 171 228 234 247 317 338 342 351 468 494 507 513 634 676 684 702 741 951 988 1014 1026 1268 1404 1482 1521 1902 2028 2052 2223 2853 2964 3042 3211 3804 4121 4446 4563 5706 6023 6084 6422 6669 8242 8559 8892 9126 9633 11412 12046 12363 12844 13338 16484 17118 18069 18252 19266 24092 24726 26676 28899 34236 36138 37089 38532 49452 53573 54207 57798 72276 74178 78299 86697 107146 108414 111267 115596 148356 156598 160719 162621 173394 214292 216828 222534 234897 313196 321438 325242 346788 445068 469794 482157 642876 650484 704691 939588 964314 1017887 1409382 1446471 1928628 2035774 2114073 2818764 2892942 3053661 4071548 4228146 5785884 6107322 8456292 9160983 12214644 18321966 27482949 36643932 54965898 109931796