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12133380 = 2235724127
BaseRepresentation
bin101110010010…
…010000000100
3211211102212110
4232102100010
511101232010
61112021020
7205063200
oct56222004
924742773
1012133380
116937a96
124091770
13268a91c
14187bb00
1510ea120
hexb92404

12133380 has 72 divisors (see below), whose sum is σ = 39529728. Its totient is φ = 2772672.

The previous prime is 12133367. The next prime is 12133391. The reversal of 12133380 is 8333121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (549024).

Almost surely, 212133380 is an apocalyptic number.

12133380 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 12133380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764864).

12133380 is an abundant number, since it is smaller than the sum of its proper divisors (27396348).

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

12133380 is a wasteful number, since it uses less digits than its factorization.

12133380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12133380 is about 3483.3001593317. The cubic root of 12133380 is about 229.7879583238.

The spelling of 12133380 in words is "twelve million, one hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4127 8254 12381 16508 20635 24762 28889 41270 49524 57778 61905 82540 86667 115556 123810 144445 173334 202223 247620 288890 346668 404446 433335 577780 606669 808892 866670 1011115 1213338 1733340 2022230 2426676 3033345 4044460 6066690 12133380