Search a number
-
+
873129105 = 335233147193
BaseRepresentation
bin110100000010101…
…110010010010001
32020211221112222000
4310002232102101
53242010112410
6222350104213
730431321622
oct6402562221
92224845860
10873129105
11408949902
122044ab069
1310bb78a54
1483d63a49
15519bedc0
hex340ae491

873129105 has 128 divisors (see below), whose sum is σ = 1716387840. Its totient is φ = 419696640.

The previous prime is 873129091. The next prime is 873129109. The reversal of 873129105 is 501921378.

It is not a de Polignac number, because 873129105 - 25 = 873129073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 873129105.

It is not an unprimeable number, because it can be changed into a prime (873129109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4523889 + ... + 4524081.

It is an arithmetic number, because the mean of its divisors is an integer number (13409280).

Almost surely, 2873129105 is an apocalyptic number.

It is an amenable number.

873129105 is a deficient number, since it is larger than the sum of its proper divisors (843258735).

873129105 is a wasteful number, since it uses less digits than its factorization.

873129105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 873129105 is about 29548.7580957305. The cubic root of 873129105 is about 955.7834109719.

The spelling of 873129105 in words is "eight hundred seventy-three million, one hundred twenty-nine thousand, one hundred five".

Divisors: 1 3 5 9 15 23 27 31 45 47 69 93 115 135 141 155 193 207 235 279 345 423 465 579 621 705 713 837 965 1035 1081 1269 1395 1457 1737 2115 2139 2895 3105 3243 3565 4185 4371 4439 5211 5405 5983 6345 6417 7285 8685 9071 9729 10695 13113 13317 16215 17949 19251 21855 22195 26055 27213 29187 29915 32085 33511 39339 39951 45355 48645 53847 65565 66585 81639 89745 96255 100533 119853 136065 137609 145935 161541 167555 196695 199755 208633 244917 269235 281201 301599 408195 412827 502665 599265 625899 688045 807705 843603 904797 1043165 1224585 1238481 1406005 1507995 1877697 2064135 2530809 3129495 3715443 4218015 4523985 5633091 6192405 6467623 7592427 9388485 12654045 18577215 19402869 28165455 32338115 37962135 58208607 97014345 174625821 291043035 873129105