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12139392 = 273101313
BaseRepresentation
bin101110010011…
…101110000000
3211211202010010
4232103232000
511101430032
61112104520
7205116546
oct56235600
924752103
1012139392
116941561
124095140
132690595
14187dd96
1510ebccc
hexb93b80

12139392 has 64 divisors (see below), whose sum is σ = 32668560. Its totient is φ = 3993600.

The previous prime is 12139381. The next prime is 12139409. The reversal of 12139392 is 29393121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 38628 + ... + 38940.

Almost surely, 212139392 is an apocalyptic number.

12139392 is a gapful number since it is divisible by the number (12) 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 12139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334280).

12139392 is an abundant number, since it is smaller than the sum of its proper divisors (20529168).

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

12139392 is a wasteful number, since it uses less digits than its factorization.

12139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 12139392 is about 3484.1630271846. The cubic root of 12139392 is about 229.8259048013.

The spelling of 12139392 in words is "twelve million, one hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 313 384 404 606 626 808 939 1212 1252 1616 1878 2424 2504 3232 3756 4848 5008 6464 7512 9696 10016 12928 15024 19392 20032 30048 31613 38784 40064 60096 63226 94839 120192 126452 189678 252904 379356 505808 758712 1011616 1517424 2023232 3034848 4046464 6069696 12139392