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12088104 = 2337219541
BaseRepresentation
bin101110000111…
…001100101000
3211202010202120
4232013030220
511043304404
61111031240
7204514200
oct56071450
924663676
1012088104
116906a76
12406b520
132673132
141869400
1510db9d9
hexb87328

12088104 has 96 divisors (see below), whose sum is σ = 37072800. Its totient is φ = 3265920.

The previous prime is 12088093. The next prime is 12088127. The reversal of 12088104 is 40188021.

It is a super-2 number, since 2×120881042 = 292244516629632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 22074 + ... + 22614.

It is an arithmetic number, because the mean of its divisors is an integer number (386175).

Almost surely, 212088104 is an apocalyptic number.

12088104 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 12088104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536400).

12088104 is an abundant number, since it is smaller than the sum of its proper divisors (24984696).

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

12088104 is a wasteful number, since it uses less digits than its factorization.

12088104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12088104 is about 3476.7950759284. The cubic root of 12088104 is about 229.5017823016.

The spelling of 12088104 in words is "twelve million, eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 541 588 798 931 1064 1082 1176 1596 1623 1862 2164 2793 3192 3246 3724 3787 4328 5586 6492 7448 7574 10279 11172 11361 12984 15148 20558 22344 22722 26509 30296 30837 41116 45444 53018 61674 71953 79527 82232 90888 106036 123348 143906 159054 212072 215859 246696 287812 318108 431718 503671 575624 636216 863436 1007342 1511013 1726872 2014684 3022026 4029368 6044052 12088104