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12181040 = 245433541
BaseRepresentation
bin101110011101…
…111000110000
3211220212020122
4232131320300
511104243130
61113025412
7205352144
oct56357060
924825218
1012181040
11696a883
1240b5268
1326a6521
141891224
1511092e5
hexb9de30

12181040 has 40 divisors (see below), whose sum is σ = 28987728. Its totient is φ = 4757760.

The previous prime is 12181031. The next prime is 12181051. The reversal of 12181040 is 4018121.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1670 + ... + 5210.

Almost surely, 212181040 is an apocalyptic number.

12181040 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 12181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493864).

12181040 is an abundant number, since it is smaller than the sum of its proper divisors (16806688).

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

12181040 is a wasteful number, since it uses less digits than its factorization.

12181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 12181040 is about 3490.1346678889. The cubic root of 12181040 is about 230.0884348016.

Adding to 12181040 its reverse (4018121), we get a palindrome (16199161).

The spelling of 12181040 in words is "twelve million, one hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 3541 7082 14164 17705 28328 35410 56656 70820 141640 152263 283280 304526 609052 761315 1218104 1522630 2436208 3045260 6090520 12181040