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10397240 = 235771523
BaseRepresentation
bin100111101010…
…011000111000
3201120020022222
4213222120320
510130202430
61010503212
7154242440
oct47523070
921506288
1010397240
115961667
123594b08
132200619
141549120
15da59e5
hex9ea638

10397240 has 64 divisors (see below), whose sum is σ = 27164160. Its totient is φ = 3507840.

The previous prime is 10397239. The next prime is 10397249. The reversal of 10397240 is 4279301.

10397240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10397249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19619 + ... + 20141.

It is an arithmetic number, because the mean of its divisors is an integer number (424440).

Almost surely, 210397240 is an apocalyptic number.

10397240 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 10397240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582080).

10397240 is an abundant number, since it is smaller than the sum of its proper divisors (16766920).

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

10397240 is a wasteful number, since it uses less digits than its factorization.

10397240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 10397240 is about 3224.4751510905. The cubic root of 10397240 is about 218.2592656451.

The spelling of 10397240 in words is "ten million, three hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 523 568 710 994 1046 1420 1988 2092 2485 2615 2840 3661 3976 4184 4970 5230 7322 9940 10460 14644 18305 19880 20920 29288 36610 37133 73220 74266 146440 148532 185665 259931 297064 371330 519862 742660 1039724 1299655 1485320 2079448 2599310 5198620 10397240