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10397520 = 2432572063
BaseRepresentation
bin100111101010…
…011101010000
3201120020201100
4213222131100
510130210040
61010504400
7154243320
oct47523520
921506640
1010397520
1159618a1
123595100
1322007a3
141549280
15da5b30
hex9ea750

10397520 has 120 divisors (see below), whose sum is σ = 39926016. Its totient is φ = 2375424.

The previous prime is 10397509. The next prime is 10397537. The reversal of 10397520 is 2579301.

10397520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4009 + ... + 6071.

Almost surely, 210397520 is an apocalyptic number.

10397520 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 10397520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19963008).

10397520 is an abundant number, since it is smaller than the sum of its proper divisors (29528496).

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

10397520 is a wasteful number, since it uses less digits than its factorization.

10397520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10397520 is about 3224.5185687169. The cubic root of 10397520 is about 218.2612248845.

The spelling of 10397520 in words is "ten million, three hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2063 2520 4126 5040 6189 8252 10315 12378 14441 16504 18567 20630 24756 28882 30945 33008 37134 41260 43323 49512 57764 61890 72205 74268 82520 86646 92835 99024 115528 123780 129969 144410 148536 165040 173292 185670 216615 231056 247560 259938 288820 297072 346584 371340 433230 495120 519876 577640 649845 693168 742680 866460 1039752 1155280 1299690 1485360 1732920 2079504 2599380 3465840 5198760 10397520