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12093144 = 233771983
BaseRepresentation
bin101110001000…
…011011011000
3211202101200020
4232020123120
511043440034
61111110440
7204534660
oct56103330
924671606
1012093144
11690a838
124072420
13267550b
14186b1a0
1510dd249
hexb886d8

12093144 has 32 divisors (see below), whose sum is σ = 34552320. Its totient is φ = 3455136.

The previous prime is 12093119. The next prime is 12093149. The reversal of 12093144 is 44139021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12093149) 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 7 ways as a sum of consecutive naturals, for example, 35824 + ... + 36159.

It is an arithmetic number, because the mean of its divisors is an integer number (1079760).

Almost surely, 212093144 is an apocalyptic number.

12093144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12093144 is an abundant number, since it is smaller than the sum of its proper divisors (22459176).

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

12093144 is a wasteful number, since it uses less digits than its factorization.

12093144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71999 (or 71995 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12093144 is about 3477.5198058386. The cubic root of 12093144 is about 229.5336739383.

The spelling of 12093144 in words is "twelve million, ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 71983 143966 215949 287932 431898 503881 575864 863796 1007762 1511643 1727592 2015524 3023286 4031048 6046572 12093144