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12096540 = 2235519131
BaseRepresentation
bin101110001001…
…010000011100
3211202120100000
4232021100130
511044042130
61111134300
7204550611
oct56112034
924676300
1012096540
116912345
124074390
132676c21
14186c508
1510de260
hexb8941c

12096540 has 144 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3032640.

The previous prime is 12096533. The next prime is 12096547. The reversal of 12096540 is 4569021.

12096540 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 654 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12096533) and next prime (12096547).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12096547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92275 + ... + 92405.

It is an arithmetic number, because the mean of its divisors is an integer number (280280).

Almost surely, 212096540 is an apocalyptic number.

12096540 is a gapful number since it is divisible by the number (10) 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 12096540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

12096540 is an abundant number, since it is smaller than the sum of its proper divisors (28263780).

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

12096540 is a wasteful number, since it uses less digits than its factorization.

12096540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12096540 is about 3478.0080505945. The cubic root of 12096540 is about 229.5551578304. Note that the first 3 decimals are identical.

The spelling of 12096540 in words is "twelve million, ninety-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 131 135 162 171 180 190 228 243 262 270 285 324 342 380 393 405 486 513 524 540 570 655 684 786 810 855 972 1026 1140 1179 1215 1310 1539 1572 1620 1710 1965 2052 2358 2430 2489 2565 2620 3078 3420 3537 3930 4617 4716 4860 4978 5130 5895 6156 7074 7467 7695 7860 9234 9956 10260 10611 11790 12445 14148 14934 15390 17685 18468 21222 22401 23085 23580 24890 29868 30780 31833 35370 37335 42444 44802 46170 49780 53055 63666 67203 70740 74670 89604 92340 106110 112005 127332 134406 149340 159165 201609 212220 224010 268812 318330 336015 403218 448020 604827 636660 672030 806436 1008045 1209654 1344060 2016090 2419308 3024135 4032180 6048270 12096540