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12090960 = 2432572399
BaseRepresentation
bin101110000111…
…111001010000
3211202021200100
4232013321100
511043402320
61111052400
7204525420
oct56077120
924667610
1012090960
116909132
124071100
13267451b
14186a480
1510dc790
hexb87e50

12090960 has 120 divisors (see below), whose sum is σ = 46425600. Its totient is φ = 2762496.

The previous prime is 12090959. The next prime is 12090977. The reversal of 12090960 is 6909021.

It is a happy number.

12090960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3841 + ... + 6239.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 212090960 is an apocalyptic number.

12090960 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 12090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

12090960 is an abundant number, since it is smaller than the sum of its proper divisors (34334640).

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

12090960 is a wasteful number, since it uses less digits than its factorization.

12090960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12090960 is about 3477.2057747565. The cubic root of 12090960 is about 229.5198553172.

Adding to 12090960 its reverse (6909021), we get a palindrome (18999981).

The spelling of 12090960 in words is "twelve million, ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2399 2520 4798 5040 7197 9596 11995 14394 16793 19192 21591 23990 28788 33586 35985 38384 43182 47980 50379 57576 67172 71970 83965 86364 95960 100758 107955 115152 134344 143940 151137 167930 172728 191920 201516 215910 251895 268688 287880 302274 335860 345456 403032 431820 503790 575760 604548 671720 755685 806064 863640 1007580 1209096 1343440 1511370 1727280 2015160 2418192 3022740 4030320 6045480 12090960