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10375140 = 2235192479
BaseRepresentation
bin100111100100…
…111111100100
3201112010000110
4213210333210
510124001030
61010213020
7154121136
oct47447744
921463013
1010375140
115946aa6
123584170
1321c3549
141541056
15d9e1b0
hex9e4fe4

10375140 has 72 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 2615616.

The previous prime is 10375129. The next prime is 10375153. The reversal of 10375140 is 4157301.

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, 21421 + ... + 21899.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 210375140 is an apocalyptic number.

10375140 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 10375140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

10375140 is an abundant number, since it is smaller than the sum of its proper divisors (20348700).

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

10375140 is a wasteful number, since it uses less digits than its factorization.

10375140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10375140 is about 3221.0464138227. The cubic root of 10375140 is about 218.1045145963.

The spelling of 10375140 in words is "ten million, three hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 479 570 722 958 1083 1140 1437 1444 1805 1916 2166 2395 2874 3610 4332 4790 5415 5748 7185 7220 9101 9580 10830 14370 18202 21660 27303 28740 36404 45505 54606 91010 109212 136515 172919 182020 273030 345838 518757 546060 691676 864595 1037514 1729190 2075028 2593785 3458380 5187570 10375140