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10317440 = 2757347
BaseRepresentation
bin100111010110…
…111010000000
3201102011212102
4213112322000
510120124230
61005045532
7153461000
oct47267200
921364772
1010317440
115907711
1235568a8
1321a31c3
141528000
15d8c045
hex9d6e80

10317440 has 128 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3462144.

The previous prime is 10317421. The next prime is 10317443. The reversal of 10317440 is 4471301.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10317443) by changing a digit.

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, 219497 + ... + 219543.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 210317440 is an apocalyptic number.

10317440 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 10317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10317440 is an abundant number, since it is smaller than the sum of its proper divisors (19058560).

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

10317440 is an frugal number, since it uses more digits than its factorization.

10317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10317440 is about 3212.0772095328. The cubic root of 10317440 is about 217.6994427256.

Adding to 10317440 its reverse (4471301), we get a palindrome (14788741).

The spelling of 10317440 in words is "ten million, three hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 49 56 64 70 80 94 98 112 128 140 160 188 196 224 235 245 280 320 329 343 376 392 448 470 490 560 640 658 686 752 784 896 940 980 1120 1316 1372 1504 1568 1645 1715 1880 1960 2240 2303 2632 2744 3008 3136 3290 3430 3760 3920 4480 4606 5264 5488 6016 6272 6580 6860 7520 7840 9212 10528 10976 11515 13160 13720 15040 15680 16121 18424 21056 21952 23030 26320 27440 30080 31360 32242 36848 42112 43904 46060 52640 54880 64484 73696 80605 92120 105280 109760 128968 147392 161210 184240 210560 219520 257936 294784 322420 368480 515872 644840 736960 1031744 1289680 1473920 2063488 2579360 5158720 10317440