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12148660 = 2255373157
BaseRepresentation
bin101110010101…
…111110110100
3211212012211101
4232111332310
511102224120
61112215444
7205155556
oct56257664
924765741
1012148660
116948517
12409a584
132694874
1418834d6
1510ee90a
hexb95fb4

12148660 has 48 divisors (see below), whose sum is σ = 26517456. Its totient is φ = 4672512.

The previous prime is 12148649. The next prime is 12148663. The reversal of 12148660 is 6684121.

It can be written as a sum of positive squares in 8 ways, for example, as 10404 + 12138256 = 102^2 + 3484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12148663) 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, 77302 + ... + 77458.

It is an arithmetic number, because the mean of its divisors is an integer number (552447).

Almost surely, 212148660 is an apocalyptic number.

12148660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12148660 is an abundant number, since it is smaller than the sum of its proper divisors (14368796).

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

12148660 is a wasteful number, since it uses less digits than its factorization.

12148660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12148660 is about 3485.4927915576. The cubic root of 12148660 is about 229.8843779288.

The spelling of 12148660 in words is "twelve million, one hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 53 73 106 146 157 212 265 292 314 365 530 628 730 785 1060 1460 1570 3140 3869 7738 8321 11461 15476 16642 19345 22922 33284 38690 41605 45844 57305 77380 83210 114610 166420 229220 607433 1214866 2429732 3037165 6074330 12148660