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12290320 = 2457171291
BaseRepresentation
bin101110111000…
…100100010000
3212010102011001
4232320210100
511121242240
61115231344
7206315560
oct56704420
925112131
1012290320
116a34999
124148554
1327141a3
1418bcda0
15112b89a
hexbb8910

12290320 has 80 divisors (see below), whose sum is σ = 34604928. Its totient is φ = 3962880.

The previous prime is 12290297. The next prime is 12290323. The reversal of 12290320 is 2309221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12290323) 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, 8875 + ... + 10165.

Almost surely, 212290320 is an apocalyptic number.

12290320 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 12290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302464).

12290320 is an abundant number, since it is smaller than the sum of its proper divisors (22314608).

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

12290320 is a wasteful number, since it uses less digits than its factorization.

12290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 12290320 is about 3505.7552681270. The cubic root of 12290320 is about 230.7744529872.

Adding to 12290320 its reverse (2309221), we get a palindrome (14599541).

The spelling of 12290320 in words is "twelve million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1291 1360 1904 2380 2582 4760 5164 6455 9037 9520 10328 12910 18074 20656 21947 25820 36148 43894 45185 51640 72296 87788 90370 103280 109735 144592 153629 175576 180740 219470 307258 351152 361480 438940 614516 722960 768145 877880 1229032 1536290 1755760 2458064 3072580 6145160 12290320