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12063072 = 253729619
BaseRepresentation
bin101110000001…
…000101100000
3211200212102110
4232001011200
511042004242
61110315320
7204351210
oct56010540
924625373
1012063072
11689a18a
124058b40
132664918
141860240
1510d439c
hexb81160

12063072 has 96 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3322368.

The previous prime is 12063059. The next prime is 12063083. The reversal of 12063072 is 27036021.

It is a happy number.

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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19179 + ... + 19797.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 212063072 is an apocalyptic number.

12063072 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 12063072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12063072 is an abundant number, since it is smaller than the sum of its proper divisors (25434528).

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

12063072 is a wasteful number, since it uses less digits than its factorization.

12063072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 12063072 is about 3473.1933433081. The cubic root of 12063072 is about 229.3432556851.

Adding to 12063072 its reverse (27036021), we get a palindrome (39099093).

It can be divided in two parts, 1206 and 3072, that added together give a triangular number (4278 = T92).

The spelling of 12063072 in words is "twelve million, sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 619 672 696 812 928 1218 1238 1392 1624 1857 2436 2476 2784 3248 3714 4333 4872 4952 6496 7428 8666 9744 9904 12999 14856 17332 17951 19488 19808 25998 29712 34664 35902 51996 53853 59424 69328 71804 103992 107706 125657 138656 143608 207984 215412 251314 287216 376971 415968 430824 502628 574432 753942 861648 1005256 1507884 1723296 2010512 3015768 4021024 6031536 12063072