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12291993 = 347219163
BaseRepresentation
bin101110111000…
…111110011001
3212010111110000
4232320332121
511121320433
61115243213
7206323500
oct56707631
925114400
1012291993
116a3617a
124149509
132714b8c
1418bd837
15112c113
hexbb8f99

12291993 has 60 divisors (see below), whose sum is σ = 22622160. Its totient is φ = 6613488.

The previous prime is 12291991. The next prime is 12291997. The reversal of 12291993 is 39919221.

It is a happy number.

It is not a de Polignac number, because 12291993 - 21 = 12291991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12291991) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 75330 + ... + 75492.

It is an arithmetic number, because the mean of its divisors is an integer number (377036).

Almost surely, 212291993 is an apocalyptic number.

It is an amenable number.

12291993 is a deficient number, since it is larger than the sum of its proper divisors (10330167).

12291993 is a wasteful number, since it uses less digits than its factorization.

12291993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 12291993 is about 3505.9938676501. The cubic root of 12291993 is about 230.7849237790.

The spelling of 12291993 in words is "twelve million, two hundred ninety-one thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 163 171 189 399 441 489 513 567 931 1141 1197 1323 1467 1539 2793 3097 3423 3591 3969 4401 7987 8379 9291 10269 10773 13203 21679 23961 25137 27873 30807 65037 71883 75411 83619 92421 151753 195111 215649 250857 455259 585333 646947 1365777 1755999 4097331 12291993