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10020240 = 243354639
BaseRepresentation
bin100110001110…
…010110010000
3200212002012000
4212032112100
510031121430
6554434000
7151112346
oct46162620
920762160
1010020240
11572439a
123432900
1320cab49
14148b996
15d2de60
hex98e590

10020240 has 80 divisors (see below), whose sum is σ = 34521600. Its totient is φ = 2671488.

The previous prime is 10020193. The next prime is 10020253. The reversal of 10020240 is 4202001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160 + ... + 4479.

It is an arithmetic number, because the mean of its divisors is an integer number (431520).

Almost surely, 210020240 is an apocalyptic number.

10020240 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 10020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260800).

10020240 is an abundant number, since it is smaller than the sum of its proper divisors (24501360).

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

10020240 is a wasteful number, since it uses less digits than its factorization.

10020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10020240 is about 3165.4762674833. The cubic root of 10020240 is about 215.5887235759.

Adding to 10020240 its reverse (4202001), we get a palindrome (14222241).

The spelling of 10020240 in words is "ten million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4639 9278 13917 18556 23195 27834 37112 41751 46390 55668 69585 74224 83502 92780 111336 125253 139170 167004 185560 208755 222672 250506 278340 334008 371120 417510 501012 556680 626265 668016 835020 1002024 1113360 1252530 1670040 2004048 2505060 3340080 5010120 10020240