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12011664 = 243725107
BaseRepresentation
bin101101110100…
…100010010000
3211121020220110
4231310202100
511033333124
61105241320
7204045300
oct55644220
924536813
1012011664
1168645a5
124033240
1326473c2
141849600
1510c4029
hexb74890

12011664 has 60 divisors (see below), whose sum is σ = 36103344. Its totient is φ = 3431232.

The previous prime is 12011651. The next prime is 12011669. The reversal of 12011664 is 46611021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12011664.

It is not an unprimeable number, because it can be changed into a prime (12011669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202 + ... + 4905.

Almost surely, 212011664 is an apocalyptic number.

12011664 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 12011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051672).

12011664 is an abundant number, since it is smaller than the sum of its proper divisors (24091680).

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

12011664 is a wasteful number, since it uses less digits than its factorization.

12011664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12011664 is about 3465.7847596179. The cubic root of 12011664 is about 229.0170019730.

Adding to 12011664 its reverse (46611021), we get a palindrome (58622685).

The spelling of 12011664 in words is "twelve million, eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5107 10214 15321 20428 30642 35749 40856 61284 71498 81712 107247 122568 142996 214494 245136 250243 285992 428988 500486 571984 750729 857976 1000972 1501458 1715952 2001944 3002916 4003888 6005832 12011664