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12099136 = 267113239
BaseRepresentation
bin101110001001…
…111001000000
3211202200220011
4232021321000
511044133021
61111154304
7204561310
oct56117100
924680804
1012099136
116914295
124075994
13267816a
14186d440
1510dede1
hexb89e40

12099136 has 56 divisors (see below), whose sum is σ = 27797760. Its totient is φ = 5117952.

The previous prime is 12099133. The next prime is 12099151. The reversal of 12099136 is 63199021.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 12099098 and 12099107.

It is not an unprimeable number, because it can be changed into a prime (12099133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50505 + ... + 50743.

Almost surely, 212099136 is an apocalyptic number.

12099136 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 12099136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898880).

12099136 is an abundant number, since it is smaller than the sum of its proper divisors (15698624).

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

12099136 is a wasteful number, since it uses less digits than its factorization.

12099136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 12099136 is about 3478.3812327001. The cubic root of 12099136 is about 229.5715780234.

It can be divided in two parts, 120991 and 36, that multiplied together give a triangular number (4355676 = T2951).

The spelling of 12099136 in words is "twelve million, ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 239 448 452 478 791 904 956 1582 1673 1808 1912 3164 3346 3616 3824 6328 6692 7232 7648 12656 13384 15296 25312 26768 27007 50624 53536 54014 107072 108028 189049 216056 378098 432112 756196 864224 1512392 1728448 3024784 6049568 12099136