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12046080 = 28353137
BaseRepresentation
bin101101111100…
…111100000000
3211200000010010
4231330330000
511040433310
61110104520
7204250524
oct55747400
924600103
1012046080
116888442
12404b140
132659c77
141857d84
1510ce320
hexb7cf00

12046080 has 72 divisors (see below), whose sum is σ = 38484432. Its totient is φ = 3211264.

The previous prime is 12046079. The next prime is 12046103. The reversal of 12046080 is 8064021.

12046080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2272 + ... + 5408.

It is an arithmetic number, because the mean of its divisors is an integer number (534506).

Almost surely, 212046080 is an apocalyptic number.

12046080 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 12046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242216).

12046080 is an abundant number, since it is smaller than the sum of its proper divisors (26438352).

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

12046080 is an equidigital number, since it uses as much as digits as its factorization.

12046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12046080 is about 3470.7463174366. The cubic root of 12046080 is about 229.2355210550.

The spelling of 12046080 in words is "twelve million, forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3137 3840 6274 9411 12548 15685 18822 25096 31370 37644 47055 50192 62740 75288 94110 100384 125480 150576 188220 200768 250960 301152 376440 401536 501920 602304 752880 803072 1003840 1204608 1505760 2007680 2409216 3011520 4015360 6023040 12046080