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12091392 = 2153241
BaseRepresentation
bin101110001000…
…000000000000
3211202022021100
4232020000000
511043411032
61111054400
7204526605
oct56100000
924668240
1012091392
116909495
124071400
132674791
14186a6ac
1510dc97c
hexb88000

12091392 has 96 divisors (see below), whose sum is σ = 35782110. Its totient is φ = 3932160.

The previous prime is 12091381. The next prime is 12091411. The reversal of 12091392 is 29319021.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 147456 = 3456^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294892 + ... + 294932.

Almost surely, 212091392 is an apocalyptic number.

12091392 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 12091392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891055).

12091392 is an abundant number, since it is smaller than the sum of its proper divisors (23690718).

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

12091392 is an frugal number, since it uses more digits than its factorization.

12091392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12091392 is about 3477.2678930448. The cubic root of 12091392 is about 229.5225888028.

It can be divided in two parts, 1209 and 1392, that added together give a square (2601 = 512).

The spelling of 12091392 in words is "twelve million, ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1968 2048 2304 2624 2952 3072 3936 4096 4608 5248 5904 6144 7872 8192 9216 10496 11808 12288 15744 16384 18432 20992 23616 24576 31488 32768 36864 41984 47232 49152 62976 73728 83968 94464 98304 125952 147456 167936 188928 251904 294912 335872 377856 503808 671744 755712 1007616 1343488 1511424 2015232 3022848 4030464 6045696 12091392