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9997440 = 273541127
BaseRepresentation
bin100110001000…
…110010000000
3200210220220120
4212020302000
510024404230
6554140240
7150656025
oct46106200
920726816
109997440
115709252
123421680
1320c065b
14148354c
15d27310
hex988c80

9997440 has 128 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 2580480.

The previous prime is 9997397. The next prime is 9997441. The reversal of 9997440 is 447999.

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

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9997392 and 9997401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78657 + ... + 78783.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 29997440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

9997440 is an abundant number, since it is smaller than the sum of its proper divisors (22903680).

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

9997440 is a wasteful number, since it uses less digits than its factorization.

9997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 9997440 is about 3161.8728627192. The cubic root of 9997440 is about 215.4250829248.

The spelling of 9997440 in words is "nine million, nine hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 127 128 160 164 192 205 240 246 254 320 328 381 384 410 480 492 508 615 635 640 656 762 820 960 984 1016 1230 1270 1312 1524 1640 1905 1920 1968 2032 2460 2540 2624 3048 3280 3810 3936 4064 4920 5080 5207 5248 6096 6560 7620 7872 8128 9840 10160 10414 12192 13120 15240 15621 15744 16256 19680 20320 20828 24384 26035 26240 30480 31242 39360 40640 41656 48768 52070 60960 62484 78105 78720 81280 83312 104140 121920 124968 156210 166624 208280 243840 249936 312420 333248 416560 499872 624840 666496 833120 999744 1249680 1666240 1999488 2499360 3332480 4998720 9997440