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12014464 = 277112353
BaseRepresentation
bin101101110101…
…001110000000
3211121101202011
4231311032000
511033430324
61105302304
7204056410
oct55651600
924541664
1012014464
116866710
124034994
132648767
14184a640
1510c4c94
hexb75380

12014464 has 128 divisors (see below), whose sum is σ = 31726080. Its totient is φ = 4392960.

The previous prime is 12014449. The next prime is 12014477. The reversal of 12014464 is 46441021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 226662 + ... + 226714.

It is an arithmetic number, because the mean of its divisors is an integer number (247860).

Almost surely, 212014464 is an apocalyptic number.

12014464 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 12014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).

12014464 is an abundant number, since it is smaller than the sum of its proper divisors (19711616).

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

12014464 is a wasteful number, since it uses less digits than its factorization.

12014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12014464 is about 3466.1886849968. The cubic root of 12014464 is about 229.0347957271.

Adding to 12014464 its reverse (46441021), we get a palindrome (58455485).

It can be divided in two parts, 1201 and 4464, that added together give a palindrome (5665).

The spelling of 12014464 in words is "twelve million, fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 53 56 64 77 88 92 106 112 128 154 161 176 184 212 224 253 308 322 352 368 371 424 448 506 583 616 644 704 736 742 848 896 1012 1166 1219 1232 1288 1408 1472 1484 1696 1771 2024 2332 2438 2464 2576 2944 2968 3392 3542 4048 4081 4664 4876 4928 5152 5936 6784 7084 8096 8162 8533 9328 9752 9856 10304 11872 13409 14168 16192 16324 17066 18656 19504 20608 23744 26818 28336 32384 32648 34132 37312 39008 47488 53636 56672 65296 68264 74624 78016 93863 107272 113344 130592 136528 156032 187726 214544 226688 261184 273056 375452 429088 522368 546112 750904 858176 1092224 1501808 1716352 3003616 6007232 12014464