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12397440 = 273511587
BaseRepresentation
bin101111010010…
…101110000000
3212022212002110
4233102232000
511133204230
61121415320
7210243066
oct57225600
925285073
1012397440
116aa8420
12419a540
132750b83
14190a036
15114d4b0
hexbd2b80

12397440 has 128 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 3000320.

The previous prime is 12397417. The next prime is 12397453. The reversal of 12397440 is 4479321.

It is a happy number.

It is a Cunningham number, because it is equal to 35212-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12397398 and 12397407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20827 + ... + 21413.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 212397440 is an apocalyptic number.

12397440 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 12397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

12397440 is an abundant number, since it is smaller than the sum of its proper divisors (30785280).

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

12397440 is a wasteful number, since it uses less digits than its factorization.

12397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 12397440 is about 3520.9998579949. Note that the first 3 decimals coincide. The cubic root of 12397440 is about 231.4429760015.

The spelling of 12397440 in words is "twelve million, three hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 587 640 660 704 880 960 1056 1174 1320 1408 1760 1761 1920 2112 2348 2640 2935 3520 3522 4224 4696 5280 5870 6457 7040 7044 8805 9392 10560 11740 12914 14088 17610 18784 19371 21120 23480 25828 28176 32285 35220 37568 38742 46960 51656 56352 64570 70440 75136 77484 93920 96855 103312 112704 129140 140880 154968 187840 193710 206624 225408 258280 281760 309936 375680 387420 413248 516560 563520 619872 774840 826496 1033120 1127040 1239744 1549680 2066240 2479488 3099360 4132480 6198720 12397440