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12107844 = 22327232089
BaseRepresentation
bin101110001100…
…000001000100
3211210010211200
4232030001010
511044422334
61111302500
7204625560
oct56140104
924703750
1012107844
11691a891
12407aa30
13267c108
1418726a0
1510e2799
hexb8c044

12107844 has 72 divisors (see below), whose sum is σ = 36516480. Its totient is φ = 3307392.

The previous prime is 12107839. The next prime is 12107861. The reversal of 12107844 is 44870121.

12107844 = T97 + T98 + ... + T418.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4752 + ... + 6840.

Almost surely, 212107844 is an apocalyptic number.

12107844 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 12107844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258240).

12107844 is an abundant number, since it is smaller than the sum of its proper divisors (24408636).

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

12107844 is a wasteful number, since it uses less digits than its factorization.

12107844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 12107844 is about 3479.6327392413. The cubic root of 12107844 is about 229.6266406299.

Adding to 12107844 its reverse (44870121), we get a palindrome (56977965).

The spelling of 12107844 in words is "twelve million, one hundred seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2089 2898 4178 5796 6267 8356 12534 14623 18801 25068 29246 37602 43869 48047 58492 75204 87738 96094 131607 144141 175476 192188 263214 288282 336329 432423 526428 576564 672658 864846 1008987 1345316 1729692 2017974 3026961 4035948 6053922 12107844