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12376080 = 2432517189
BaseRepresentation
bin101111001101…
…100000010000
3212021202210100
4233031200100
511132013310
61121132400
7210123603
oct57154020
925252710
1012376080
116a93372
12418a100
132744232
14190233a
151146ec0
hexbcd810

12376080 has 60 divisors (see below), whose sum is σ = 41565420. Its totient is φ = 3300096.

The previous prime is 12376079. The next prime is 12376097. The reversal of 12376080 is 8067321.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 3873024 = 2916^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7875 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (692757).

Almost surely, 212376080 is an apocalyptic number.

12376080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12376080 is an abundant number, since it is smaller than the sum of its proper divisors (29189340).

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

12376080 is a wasteful number, since it uses less digits than its factorization.

12376080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17208 (or 17199 counting only the distinct ones).

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

The square root of 12376080 is about 3517.9653210343. The cubic root of 12376080 is about 231.3099790852.

The spelling of 12376080 in words is "twelve million, three hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17189 34378 51567 68756 85945 103134 137512 154701 171890 206268 257835 275024 309402 343780 412536 515670 618804 687560 773505 825072 1031340 1237608 1375120 1547010 2062680 2475216 3094020 4125360 6188040 12376080