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12127290 = 2357174379
BaseRepresentation
bin101110010000…
…110000111010
3211211010111220
4232100300322
511101033130
61111532510
7205036350
oct56206072
924733456
1012127290
11693345a
12408a136
132687c16
1418797d0
1510e8410
hexb90c3a

12127290 has 128 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 2515968.

The previous prime is 12127289. The next prime is 12127309. The reversal of 12127290 is 9272121.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12127290.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 153471 + ... + 153549.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

Almost surely, 212127290 is an apocalyptic number.

12127290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247680).

12127290 is an abundant number, since it is smaller than the sum of its proper divisors (24368070).

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

12127290 is a wasteful number, since it uses less digits than its factorization.

12127290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12127290 is about 3482.4258786082. The cubic root of 12127290 is about 229.7495067447.

The spelling of 12127290 in words is "twelve million, one hundred twenty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 43 51 70 79 85 86 102 105 119 129 158 170 210 215 237 238 255 258 301 357 395 430 474 510 553 595 602 645 714 731 790 903 1106 1185 1190 1290 1343 1462 1505 1659 1785 1806 2193 2370 2686 2765 3010 3318 3397 3570 3655 4029 4386 4515 5117 5530 6715 6794 7310 8058 8295 9030 9401 10191 10234 10965 13430 15351 16590 16985 18802 20145 20382 21930 23779 25585 28203 30702 33970 40290 47005 47558 50955 51170 56406 57749 71337 76755 94010 101910 115498 118895 141015 142674 153510 173247 237790 282030 288745 346494 356685 404243 577490 713370 808486 866235 1212729 1732470 2021215 2425458 4042430 6063645 12127290