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12097764 = 2232761787
BaseRepresentation
bin101110001001…
…100011100100
3211202122000100
4232021203210
511044112024
61111144100
7204554310
oct56114344
924678010
1012097764
116913258
124075030
132677653
14186cb40
1510de7c9
hexb898e4

12097764 has 72 divisors (see below), whose sum is σ = 35567168. Its totient is φ = 3395520.

The previous prime is 12097759. The next prime is 12097783. The reversal of 12097764 is 46779021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14979 + ... + 15765.

Almost surely, 212097764 is an apocalyptic number.

12097764 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 12097764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783584).

12097764 is an abundant number, since it is smaller than the sum of its proper divisors (23469404).

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

12097764 is a wasteful number, since it uses less digits than its factorization.

12097764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 12097764 is about 3478.1840089334. The cubic root of 12097764 is about 229.5629001555.

The spelling of 12097764 in words is "twelve million, ninety-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 787 854 1098 1281 1574 1708 2196 2361 2562 3148 3843 4722 5124 5509 7083 7686 9444 11018 14166 15372 16527 22036 28332 33054 48007 49581 66108 96014 99162 144021 192028 198324 288042 336049 432063 576084 672098 864126 1008147 1344196 1728252 2016294 3024441 4032588 6048882 12097764