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12183072 = 2531183139
BaseRepresentation
bin101110011110…
…011000100000
3211220222000220
4232132120200
511104324242
61113043040
7205361106
oct56363040
924828026
1012183072
116971360
1240b6480
1326a7425
141891c76
151109bec
hexb9e620

12183072 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3621120.

The previous prime is 12183053. The next prime is 12183107. The reversal of 12183072 is 27038121.

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

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

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

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 15 ways as a sum of consecutive naturals, for example, 87579 + ... + 87717.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 212183072 is an apocalyptic number.

12183072 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 12183072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

12183072 is an abundant number, since it is smaller than the sum of its proper divisors (23379168).

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

12183072 is a wasteful number, since it uses less digits than its factorization.

12183072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12183072 is about 3490.4257619952. The cubic root of 12183072 is about 230.1012282824.

The spelling of 12183072 in words is "twelve million, one hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 132 139 166 176 249 264 278 332 352 417 498 528 556 664 834 913 996 1056 1112 1328 1529 1668 1826 1992 2224 2656 2739 3058 3336 3652 3984 4448 4587 5478 6116 6672 7304 7968 9174 10956 11537 12232 13344 14608 18348 21912 23074 24464 29216 34611 36696 43824 46148 48928 69222 73392 87648 92296 126907 138444 146784 184592 253814 276888 369184 380721 507628 553776 761442 1015256 1107552 1522884 2030512 3045768 4061024 6091536 12183072