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8101980 = 223251923103
BaseRepresentation
bin11110111010000001011100
3120020121211100
4132322001130
54033230410
6445353100
7125602635
oct36720134
916217740
108101980
114634157
122868790
1318a8993
14110c88c
15aa08c0
hex7ba05c

8101980 has 144 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 1938816.

The previous prime is 8101967. The next prime is 8101981. The reversal of 8101980 is 891018.

8101980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8101981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78609 + ... + 78711.

It is an arithmetic number, because the mean of its divisors is an integer number (189280).

Almost surely, 28101980 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 8101980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628160).

8101980 is an abundant number, since it is smaller than the sum of its proper divisors (19154340).

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

8101980 is a wasteful number, since it uses less digits than its factorization.

8101980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 8101980 is about 2846.3977234392. The cubic root of 8101980 is about 200.8462476080.

Adding to 8101980 its reverse (891018), we get a palindrome (8992998).

The spelling of 8101980 in words is "eight million, one hundred one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 103 114 115 138 171 180 190 206 207 228 230 276 285 309 342 345 380 412 414 437 460 515 570 618 684 690 828 855 874 927 1030 1035 1140 1236 1311 1380 1545 1710 1748 1854 1957 2060 2070 2185 2369 2622 3090 3420 3708 3914 3933 4140 4370 4635 4738 5244 5871 6180 6555 7107 7828 7866 8740 9270 9476 9785 11742 11845 13110 14214 15732 17613 18540 19570 19665 21321 23484 23690 26220 28428 29355 35226 35535 39140 39330 42642 45011 47380 58710 70452 71070 78660 85284 88065 90022 106605 117420 135033 142140 176130 180044 213210 225055 270066 352260 405099 426420 450110 540132 675165 810198 900220 1350330 1620396 2025495 2700660 4050990 8101980