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12189696 = 217331
BaseRepresentation
bin101110100000…
…000000000000
3211221022010020
4232200000000
511110032241
61113133440
7205416321
oct56400000
924838106
1012189696
116976332
1240ba280
1326aa44c
141894448
15110bb66
hexba0000

12189696 has 72 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 3932160.

The previous prime is 12189677. The next prime is 12189703. The reversal of 12189696 is 69698121.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (46656) is a multiple of the sum of its prime divisors (36).

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 3 ways as a sum of consecutive naturals, for example, 393201 + ... + 393231.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 212189696 is an apocalyptic number.

12189696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12189696 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

12189696 is an abundant number, since it is smaller than the sum of its proper divisors (21364608).

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

12189696 is an frugal number, since it uses more digits than its factorization.

12189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 12189696 is about 3491.3745144284. The cubic root of 12189696 is about 230.1429231407.

The spelling of 12189696 in words is "twelve million, one hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 4096 5952 6144 7936 8192 11904 12288 15872 16384 23808 24576 31744 32768 47616 49152 63488 65536 95232 98304 126976 131072 190464 196608 253952 380928 393216 507904 761856 1015808 1523712 2031616 3047424 4063232 6094848 12189696