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12379080 = 2335714737
BaseRepresentation
bin101111001110…
…001111001000
3212021220220110
4233032033020
511132112310
61121154320
7210135420
oct57161710
925256813
1012379080
116a9564a
12418b9a0
1327456cc
141903480
151147d20
hexbce3c8

12379080 has 64 divisors (see below), whose sum is σ = 42445440. Its totient is φ = 2829312.

The previous prime is 12379079. The next prime is 12379093. The reversal of 12379080 is 8097321.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6529 + ... + 8208.

It is an arithmetic number, because the mean of its divisors is an integer number (663210).

Almost surely, 212379080 is an apocalyptic number.

12379080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12379080 is an abundant number, since it is smaller than the sum of its proper divisors (30066360).

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

12379080 is a wasteful number, since it uses less digits than its factorization.

12379080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758 (or 14754 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12379080 is about 3518.3916780256. The cubic root of 12379080 is about 231.3286676596.

The spelling of 12379080 in words is "twelve million, three hundred seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 14737 29474 44211 58948 73685 88422 103159 117896 147370 176844 206318 221055 294740 309477 353688 412636 442110 515795 589480 618954 825272 884220 1031590 1237908 1547385 1768440 2063180 2475816 3094770 4126360 6189540 12379080