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12191424 = 263747193
BaseRepresentation
bin101110100000…
…011011000000
3211221101111020
4232200123000
511110111144
61113145440
7205424340
oct56403300
924841436
1012191424
116977663
1240bb280
1326ab17b
141894d20
15110c419
hexba06c0

12191424 has 112 divisors (see below), whose sum is σ = 37843968. Its totient is φ = 3391488.

The previous prime is 12191423. The next prime is 12191429. The reversal of 12191424 is 42419121.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 12191394 and 12191403.

It is not an unprimeable number, because it can be changed into a prime (12191423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63072 + ... + 63264.

Almost surely, 212191424 is an apocalyptic number.

12191424 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 12191424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18921984).

12191424 is an abundant number, since it is smaller than the sum of its proper divisors (25652544).

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

12191424 is a wasteful number, since it uses less digits than its factorization.

12191424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 12191424 is about 3491.6219726654. The cubic root of 12191424 is about 230.1537975760.

The spelling of 12191424 in words is "twelve million, one hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 193 224 282 329 336 376 386 448 564 579 658 672 752 772 987 1128 1158 1316 1344 1351 1504 1544 1974 2256 2316 2632 2702 3008 3088 3948 4053 4512 4632 5264 5404 6176 7896 8106 9024 9071 9264 10528 10808 12352 15792 16212 18142 18528 21056 21616 27213 31584 32424 36284 37056 43232 54426 63168 63497 64848 72568 86464 108852 126994 129696 145136 190491 217704 253988 259392 290272 380982 435408 507976 580544 761964 870816 1015952 1523928 1741632 2031904 3047856 4063808 6095712 12191424