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12087480 = 2335263383
BaseRepresentation
bin101110000111…
…000010111000
3211202002220110
4232013002320
511043244410
61111024320
7204512316
oct56070270
924662813
1012087480
116906559
12406b0a0
132672a72
1418690b6
1510db720
hexb870b8

12087480 has 64 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 3202688.

The previous prime is 12087463. The next prime is 12087503. The reversal of 12087480 is 8478021.

It is a super-2 number, since 2×120874802 = 292214345500800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31369 + ... + 31751.

It is an arithmetic number, because the mean of its divisors is an integer number (570240).

Almost surely, 212087480 is an apocalyptic number.

12087480 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 12087480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247680).

12087480 is an abundant number, since it is smaller than the sum of its proper divisors (24407880).

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

12087480 is a wasteful number, since it uses less digits than its factorization.

12087480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12087480 is about 3476.7053369534. The cubic root of 12087480 is about 229.4978331966.

It can be divided in two parts, 120 and 87480, that multiplied together give a square (10497600 = 32402).

The spelling of 12087480 in words is "twelve million, eighty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 383 526 766 789 1052 1149 1315 1532 1578 1915 2104 2298 2630 3064 3156 3830 3945 4596 5260 5745 6312 7660 7890 9192 10520 11490 15320 15780 22980 31560 45960 100729 201458 302187 402916 503645 604374 805832 1007290 1208748 1510935 2014580 2417496 3021870 4029160 6043740 12087480