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12147040 = 25531279
BaseRepresentation
bin101110010101…
…100101100000
3211212010121101
4232111211200
511102201130
61112204144
7205151053
oct56254540
924763541
1012147040
116947284
124099654
132693bc9
141882a9a
1510ee1ca
hexb95960

12147040 has 72 divisors (see below), whose sum is σ = 30028320. Its totient is φ = 4642560.

The previous prime is 12147011. The next prime is 12147043. The reversal of 12147040 is 4074121.

It is a junction number, because it is equal to n+sod(n) for n = 12146999 and 12147017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147043) by changing a digit.

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, 153721 + ... + 153799.

It is an arithmetic number, because the mean of its divisors is an integer number (417060).

Almost surely, 212147040 is an apocalyptic number.

12147040 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 12147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014160).

12147040 is an abundant number, since it is smaller than the sum of its proper divisors (17881280).

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

12147040 is an equidigital number, since it uses as much as digits as its factorization.

12147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 12147040 is about 3485.2603919937. The cubic root of 12147040 is about 229.8741592642.

The spelling of 12147040 in words is "twelve million, one hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 79 80 124 155 158 160 248 310 316 395 496 620 632 790 961 992 1240 1264 1580 1922 2449 2480 2528 3160 3844 4805 4898 4960 6320 7688 9610 9796 12245 12640 15376 19220 19592 24490 30752 38440 39184 48980 75919 76880 78368 97960 151838 153760 195920 303676 379595 391840 607352 759190 1214704 1518380 2429408 3036760 6073520 12147040