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10297120 = 255139463
BaseRepresentation
bin100111010001…
…111100100000
3201101010222211
4213101330200
510114001440
61004411504
7153344521
oct47217440
921333884
1010297120
1158a3419
123546b94
132196b92
141520848
15d85eea
hex9d1f20

10297120 has 48 divisors (see below), whose sum is σ = 24554880. Its totient is φ = 4080384.

The previous prime is 10297103. The next prime is 10297127. The reversal of 10297120 is 2179201.

It is a junction number, because it is equal to n+sod(n) for n = 10297091 and 10297100.

It is not an unprimeable number, because it can be changed into a prime (10297127) 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 7 ways as a sum of consecutive naturals, for example, 22009 + ... + 22471.

It is an arithmetic number, because the mean of its divisors is an integer number (511560).

Almost surely, 210297120 is an apocalyptic number.

10297120 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 10297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277440).

10297120 is an abundant number, since it is smaller than the sum of its proper divisors (14257760).

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

10297120 is a wasteful number, since it uses less digits than its factorization.

10297120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 10297120 is about 3208.9125884012. The cubic root of 10297120 is about 217.5564305069.

The spelling of 10297120 in words is "ten million, two hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 463 556 695 926 1112 1390 1852 2224 2315 2780 3704 4448 4630 5560 7408 9260 11120 14816 18520 22240 37040 64357 74080 128714 257428 321785 514856 643570 1029712 1287140 2059424 2574280 5148560 10297120