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112680660 = 223529312089
BaseRepresentation
bin1101011011101…
…01111011010100
321212000202210210
412231311323110
5212321240120
615103045420
72535525021
oct655657324
9255022723
10112680660
1158672714
12318a0870
131a463561
1410d72548
159d5bce0
hex6b75ed4

112680660 has 96 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 28062720.

The previous prime is 112680643. The next prime is 112680671. The reversal of 112680660 is 66086211.

It is a super-2 number, since 2×1126806602 = 25393862276071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52896 + ... + 54984.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2112680660 is an apocalyptic number.

112680660 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 112680660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

112680660 is an abundant number, since it is smaller than the sum of its proper divisors (224394540).

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

112680660 is a wasteful number, since it uses less digits than its factorization.

112680660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 112680660 is about 10615.1146955650. The cubic root of 112680660 is about 483.0029619732.

The spelling of 112680660 in words is "one hundred twelve million, six hundred eighty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2089 2697 3596 4178 4495 5394 6267 8356 8990 10445 10788 12534 13485 17980 20890 25068 26970 31335 41780 53940 60581 62670 64759 121162 125340 129518 181743 194277 242324 259036 302905 323795 363486 388554 605810 647590 726972 777108 908715 971385 1211620 1295180 1817430 1878011 1942770 3634860 3756022 3885540 5634033 7512044 9390055 11268066 18780110 22536132 28170165 37560220 56340330 112680660