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12086480 = 2457113191
BaseRepresentation
bin101110000110…
…110011010000
3211202001112102
4232012303100
511043231410
61111015532
7204506360
oct56066320
924661472
1012086480
11690582a
12406a5a8
132672483
1418689a0
1510db2a5
hexb86cd0

12086480 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 4085760.

The previous prime is 12086461. The next prime is 12086509. The reversal of 12086480 is 8468021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63185 + ... + 63375.

Almost surely, 212086480 is an apocalyptic number.

12086480 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 12086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

12086480 is an abundant number, since it is smaller than the sum of its proper divisors (20482864).

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

12086480 is a wasteful number, since it uses less digits than its factorization.

12086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 12086480 is about 3476.5615196628. The cubic root of 12086480 is about 229.4915042192.

The spelling of 12086480 in words is "twelve million, eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 191 226 280 382 452 560 565 764 791 904 955 1130 1337 1528 1582 1808 1910 2260 2674 3056 3164 3820 3955 4520 5348 6328 6685 7640 7910 9040 10696 12656 13370 15280 15820 21392 21583 26740 31640 43166 53480 63280 86332 106960 107915 151081 172664 215830 302162 345328 431660 604324 755405 863320 1208648 1510810 1726640 2417296 3021620 6043240 12086480