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12661974 = 23313171061
BaseRepresentation
bin110000010011…
…010011010110
3212211021222000
4300103103112
511220140344
61131220130
7212424243
oct60232326
925737860
1012661974
117169146
1242a7646
1328143c0
1419785ca
1511a1a69
hexc134d6

12661974 has 64 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 3663360.

The previous prime is 12661973. The next prime is 12661997. The reversal of 12661974 is 47916621.

12661974 = T1212 + T1213 + ... + T1228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661973) 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 31 ways as a sum of consecutive naturals, for example, 11404 + ... + 12464.

It is an arithmetic number, because the mean of its divisors is an integer number (501795).

Almost surely, 212661974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12661974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

12661974 is an abundant number, since it is smaller than the sum of its proper divisors (19452906).

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

12661974 is a wasteful number, since it uses less digits than its factorization.

12661974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12661974 is about 3558.3667601865. The cubic root of 12661974 is about 233.0775650937.

It can be divided in two parts, 1266 and 1974, that added together give a triangular number (3240 = T80).

The spelling of 12661974 in words is "twelve million, six hundred sixty-one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1061 1326 1989 2122 3183 3978 5967 6366 9549 11934 13793 18037 19098 27586 28647 36074 41379 54111 57294 82758 108222 124137 162333 234481 248274 324666 372411 468962 486999 703443 744822 973998 1406886 2110329 4220658 6330987 12661974