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12114984 = 2337371949
BaseRepresentation
bin101110001101…
…110000101000
3211210111122010
4232031300220
511100134414
61111355520
7204655440
oct56156050
924714563
1012114984
116925192
124082ba0
13268243b
141875120
1510e4959
hexb8dc28

12114984 has 64 divisors (see below), whose sum is σ = 35568000. Its totient is φ = 3366144.

The previous prime is 12114961. The next prime is 12115003. The reversal of 12114984 is 48941121.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5242 + ... + 7190.

It is an arithmetic number, because the mean of its divisors is an integer number (555750).

Almost surely, 212114984 is an apocalyptic number.

12114984 is a gapful number since it is divisible by the number (14) 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 12114984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784000).

12114984 is an abundant number, since it is smaller than the sum of its proper divisors (23453016).

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

12114984 is a wasteful number, since it uses less digits than its factorization.

12114984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 12114984 is about 3480.6585583766. The cubic root of 12114984 is about 229.6717687315.

The spelling of 12114984 in words is "twelve million, one hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 1949 2072 3108 3898 5847 6216 7796 11694 13643 15592 23388 27286 40929 46776 54572 72113 81858 109144 144226 163716 216339 288452 327432 432678 504791 576904 865356 1009582 1514373 1730712 2019164 3028746 4038328 6057492 12114984