Search a number
-
+
12002976 = 253271587
BaseRepresentation
bin101101110010…
…011010100000
3211120210222200
4231302122200
511033043401
61105133200
7204011046
oct55623240
924523880
1012002976
116859017
12402a200
13264346b
141846396
1510c1686
hexb726a0

12002976 has 72 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 3937920.

The previous prime is 12002959. The next prime is 12002989. The reversal of 12002976 is 67920021.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 20155 + ... + 20741.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 212002976 is an apocalyptic number.

12002976 is a gapful number since it is divisible by the number (16) 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 12002976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

12002976 is an abundant number, since it is smaller than the sum of its proper divisors (22670208).

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

12002976 is a wasteful number, since it uses less digits than its factorization.

12002976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12002976 is about 3464.5311371093. The cubic root of 12002976 is about 228.9617728885.

Adding to 12002976 its reverse (67920021), we get a palindrome (79922997).

The spelling of 12002976 in words is "twelve million, two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 587 639 852 1136 1174 1278 1704 1761 2272 2348 2556 3408 3522 4696 5112 5283 6816 7044 9392 10224 10566 14088 18784 20448 21132 28176 41677 42264 56352 83354 84528 125031 166708 169056 250062 333416 375093 500124 666832 750186 1000248 1333664 1500372 2000496 3000744 4000992 6001488 12002976