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12674740 = 2251329412
BaseRepresentation
bin110000010110…
…011010110100
3212211221110211
4300112122310
511221042430
61131355204
7212506411
oct60263264
925757424
1012674740
1171777a1
1242b2b04
13281a160
14197d108
1511a572a
hexc166b4

12674740 has 72 divisors (see below), whose sum is σ = 30393720. Its totient is φ = 4408320.

The previous prime is 12674731. The next prime is 12674749. The reversal of 12674740 is 4747621.

It is an interprime number because it is at equal distance from previous prime (12674731) and next prime (12674749).

It can be written as a sum of positive squares in 12 ways, for example, as 11102224 + 1572516 = 3332^2 + 1254^2 .

It is a super-5 number, since 5×126747405 (a number of 37 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12674749) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 309120 + ... + 309160.

It is an arithmetic number, because the mean of its divisors is an integer number (422135).

Almost surely, 212674740 is an apocalyptic number.

12674740 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 12674740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15196860).

12674740 is an abundant number, since it is smaller than the sum of its proper divisors (17718980).

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

12674740 is a wasteful number, since it uses less digits than its factorization.

12674740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 12674740 is about 3560.1601087592. The cubic root of 12674740 is about 233.1558695977.

The spelling of 12674740 in words is "twelve million, six hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 41 52 58 65 82 116 130 145 164 205 260 290 377 410 533 580 754 820 1066 1189 1508 1681 1885 2132 2378 2665 3362 3770 4756 5330 5945 6724 7540 8405 10660 11890 15457 16810 21853 23780 30914 33620 43706 48749 61828 77285 87412 97498 109265 154570 194996 218530 243745 309140 437060 487490 633737 974980 1267474 2534948 3168685 6337370 12674740