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104172660 = 22325432313
BaseRepresentation
bin1100011010110…
…00110001110100
321021000112000200
412031120301310
5203132011120
614200440500
72403311244
oct615306164
9237015020
10104172660
1153891509
122aa79130
1318774b37
14db99b24
15922ae90
hex6358c74

104172660 has 108 divisors (see below), whose sum is σ = 324543492. Its totient is φ = 27046656.

The previous prime is 104172659. The next prime is 104172697. The reversal of 104172660 is 66271401.

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 91126116 = 3612^2 + 9546^2 .

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 35 ways as a sum of consecutive naturals, for example, 332664 + ... + 332976.

Almost surely, 2104172660 is an apocalyptic number.

104172660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104172660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162271746).

104172660 is an abundant number, since it is smaller than the sum of its proper divisors (220370832).

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

104172660 is a wasteful number, since it uses less digits than its factorization.

104172660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 104172660 is about 10206.5008695439. The cubic root of 104172660 is about 470.5270381756.

The spelling of 104172660 in words is "one hundred four million, one hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 313 387 430 516 626 645 774 860 939 1252 1290 1548 1565 1849 1878 1935 2580 2817 3130 3698 3756 3870 4695 5547 5634 6260 7396 7740 9245 9390 11094 11268 13459 14085 16641 18490 18780 22188 26918 27735 28170 33282 36980 40377 53836 55470 56340 66564 67295 80754 83205 110940 121131 134590 161508 166410 201885 242262 269180 332820 403770 484524 578737 605655 807540 1157474 1211310 1736211 2314948 2422620 2893685 3472422 5208633 5787370 6944844 8681055 10417266 11574740 17362110 20834532 26043165 34724220 52086330 104172660