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12328080 = 2435311657
BaseRepresentation
bin101111000001…
…110010010000
3212012022221120
4233001302100
511123444310
61120122240
7206533632
oct57016220
925168846
1012328080
116a602a6
124166380
13272842b
1418cca52
151137b70
hexbc1c90

12328080 has 80 divisors (see below), whose sum is σ = 39473664. Its totient is φ = 3179520.

The previous prime is 12328079. The next prime is 12328087. The reversal of 12328080 is 8082321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12328080.

It is not an unprimeable number, because it can be changed into a prime (12328087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6612 + ... + 8268.

Almost surely, 212328080 is an apocalyptic number.

12328080 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 12328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736832).

12328080 is an abundant number, since it is smaller than the sum of its proper divisors (27145584).

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

12328080 is a wasteful number, since it uses less digits than its factorization.

12328080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12328080 is about 3511.1365681215. The cubic root of 12328080 is about 231.0105502949.

It can be divided in two parts, 123 and 28080, that added together give a triangular number (28203 = T237).

The spelling of 12328080 in words is "twelve million, three hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1657 1860 2480 3314 3720 4971 6628 7440 8285 9942 13256 16570 19884 24855 26512 33140 39768 49710 51367 66280 79536 99420 102734 132560 154101 198840 205468 256835 308202 397680 410936 513670 616404 770505 821872 1027340 1232808 1541010 2054680 2465616 3082020 4109360 6164040 12328080