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12134920 = 2357192281
BaseRepresentation
bin101110010010…
…101000001000
3211211111222111
4232102220020
511101304140
61112032104
7205100530
oct56225010
924744874
1012134920
116939166
124092634
13268b535
14187c4c0
1510ea7ea
hexb92a08

12134920 has 64 divisors (see below), whose sum is σ = 32860800. Its totient is φ = 3939840.

The previous prime is 12134917. The next prime is 12134921. The reversal of 12134920 is 2943121.

It is a junction number, because it is equal to n+sod(n) for n = 12134891 and 12134900.

It is not an unprimeable number, because it can be changed into a prime (12134921) 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, 4180 + ... + 6460.

It is an arithmetic number, because the mean of its divisors is an integer number (513450).

Almost surely, 212134920 is an apocalyptic number.

12134920 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 12134920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430400).

12134920 is an abundant number, since it is smaller than the sum of its proper divisors (20725880).

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

12134920 is a wasteful number, since it uses less digits than its factorization.

12134920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12134920 is about 3483.5212070547. The cubic root of 12134920 is about 229.7976796733.

The spelling of 12134920 in words is "twelve million, one hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2281 2660 4562 5320 9124 11405 15967 18248 22810 31934 43339 45620 63868 79835 86678 91240 127736 159670 173356 216695 303373 319340 346712 433390 606746 638680 866780 1213492 1516865 1733560 2426984 3033730 6067460 12134920