Search a number
-
+
12084840 = 2332533569
BaseRepresentation
bin101110000110…
…011001101000
3211201222021200
4232012121220
511043203330
61111004200
7204501525
oct56063150
924658250
1012084840
116904579
124069660
1326717c1
14186814c
1510daa60
hexb86668

12084840 has 48 divisors (see below), whose sum is σ = 39276900. Its totient is φ = 3222528.

The previous prime is 12084833. The next prime is 12084859. The reversal of 12084840 is 4848021.

It can be written as a sum of positive squares in 2 ways, for example, as 10771524 + 1313316 = 3282^2 + 1146^2 .

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 11 ways as a sum of consecutive naturals, for example, 16425 + ... + 17144.

Almost surely, 212084840 is an apocalyptic number.

12084840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12084840 is an abundant number, since it is smaller than the sum of its proper divisors (27192060).

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

12084840 is a wasteful number, since it uses less digits than its factorization.

12084840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33586 (or 33579 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12084840 is about 3476.3256464261. The cubic root of 12084840 is about 229.4811239406.

The spelling of 12084840 in words is "twelve million, eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33569 67138 100707 134276 167845 201414 268552 302121 335690 402828 503535 604242 671380 805656 1007070 1208484 1342760 1510605 2014140 2416968 3021210 4028280 6042420 12084840