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12097540 = 22571317223
BaseRepresentation
bin101110001001…
…100000000100
3211202121201001
4232021200010
511044110130
61111143044
7204553540
oct56114004
924677631
1012097540
116913074
124074a84
132677510
14186ca20
1510de6ca
hexb89804

12097540 has 144 divisors (see below), whose sum is σ = 34659072. Its totient is φ = 3446784.

The previous prime is 12097531. The next prime is 12097543. The reversal of 12097540 is 4579021.

12097540 = 522 + 532 + ... + 3312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12097499 and 12097508.

It is not an unprimeable number, because it can be changed into a prime (12097543) 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, 525969 + ... + 525991.

It is an arithmetic number, because the mean of its divisors is an integer number (240688).

Almost surely, 212097540 is an apocalyptic number.

12097540 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 12097540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329536).

12097540 is an abundant number, since it is smaller than the sum of its proper divisors (22561532).

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

12097540 is a wasteful number, since it uses less digits than its factorization.

12097540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 12097540 is about 3478.1518080728. The cubic root of 12097540 is about 229.5614832985.

The spelling of 12097540 in words is "twelve million, ninety-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 23 26 28 34 35 46 52 65 68 70 85 91 92 115 119 130 140 161 170 182 221 230 238 260 289 299 322 340 364 391 442 455 460 476 578 595 598 644 782 805 884 910 1105 1156 1190 1196 1445 1495 1547 1564 1610 1820 1955 2023 2093 2210 2380 2737 2890 2990 3094 3220 3757 3910 4046 4186 4420 5083 5474 5780 5980 6188 6647 7514 7735 7820 8092 8372 10115 10166 10465 10948 13294 13685 15028 15470 18785 20230 20332 20930 25415 26299 26588 27370 30940 33235 35581 37570 40460 41860 46529 50830 52598 54740 66470 71162 75140 86411 93058 101660 105196 131495 132940 142324 172822 177905 186116 232645 262990 345644 355810 432055 465290 525980 604877 711620 864110 930580 1209754 1728220 2419508 3024385 6048770 12097540