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12081480 = 2335831213
BaseRepresentation
bin101110000101…
…100101001000
3211201210200020
4232011211020
511043101410
61110540440
7204455655
oct56054510
924653606
1012081480
116901aa4
124067720
132670108
141866c2c
1510d9a70
hexb85948

12081480 has 64 divisors (see below), whose sum is σ = 36711360. Its totient is φ = 3180288.

The previous prime is 12081479. The next prime is 12081481. The reversal of 12081480 is 8418021.

It is an interprime number because it is at equal distance from previous prime (12081479) and next prime (12081481).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12081480.

It is not an unprimeable number, because it can be changed into a prime (12081481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9354 + ... + 10566.

It is an arithmetic number, because the mean of its divisors is an integer number (573615).

Almost surely, 212081480 is an apocalyptic number.

12081480 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 12081480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355680).

12081480 is an abundant number, since it is smaller than the sum of its proper divisors (24629880).

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

12081480 is a wasteful number, since it uses less digits than its factorization.

12081480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12081480 is about 3475.8423439506. The cubic root of 12081480 is about 229.4598540948.

It can be divided in two parts, 12081 and 480, that added together give a triangular number (12561 = T158).

The spelling of 12081480 in words is "twelve million, eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1213 1245 1660 1992 2426 2490 3320 3639 4852 4980 6065 7278 9704 9960 12130 14556 18195 24260 29112 36390 48520 72780 100679 145560 201358 302037 402716 503395 604074 805432 1006790 1208148 1510185 2013580 2416296 3020370 4027160 6040740 12081480