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12191872 = 277111237
BaseRepresentation
bin101110100000…
…100010000000
3211221102002211
4232200202000
511110114442
61113151504
7205425550
oct56404200
924842084
1012191872
116977a30
1240bb594
1326ab434
141895160
15110c617
hexba0880

12191872 has 64 divisors (see below), whose sum is σ = 30306240. Its totient is φ = 4746240.

The previous prime is 12191849. The next prime is 12191899. The reversal of 12191872 is 27819121.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9238 + ... + 10474.

It is an arithmetic number, because the mean of its divisors is an integer number (473535).

Almost surely, 212191872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153120).

12191872 is an abundant number, since it is smaller than the sum of its proper divisors (18114368).

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

12191872 is a wasteful number, since it uses less digits than its factorization.

12191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).

The product of its digits is 2016, while the sum is 31.

The square root of 12191872 is about 3491.6861256419. The cubic root of 12191872 is about 230.1566167063.

The spelling of 12191872 in words is "twelve million, one hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1237 1408 2464 2474 4928 4948 8659 9856 9896 13607 17318 19792 27214 34636 39584 54428 69272 79168 95249 108856 138544 158336 190498 217712 277088 380996 435424 554176 761992 870848 1108352 1523984 1741696 3047968 6095936 12191872