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10145240 = 2357191907
BaseRepresentation
bin100110101100…
…110111011000
3201002102122122
4212230313120
510044121430
61001240412
7152142650
oct46546730
921072578
1010145240
1157aa2a6
123493108
132142a01
1414c1360
15d55ee5
hex9acdd8

10145240 has 64 divisors (see below), whose sum is σ = 27475200. Its totient is φ = 3293568.

The previous prime is 10145197. The next prime is 10145249. The reversal of 10145240 is 4254101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4367 + ... + 6273.

It is an arithmetic number, because the mean of its divisors is an integer number (429300).

Almost surely, 210145240 is an apocalyptic number.

10145240 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 10145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737600).

10145240 is an abundant number, since it is smaller than the sum of its proper divisors (17329960).

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

10145240 is a wasteful number, since it uses less digits than its factorization.

10145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 10145240 is about 3185.1593366738. The cubic root of 10145240 is about 216.4814933324.

Adding to 10145240 its reverse (4254101), we get a palindrome (14399341).

The spelling of 10145240 in words is "ten million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 1907 2660 3814 5320 7628 9535 13349 15256 19070 26698 36233 38140 53396 66745 72466 76280 106792 133490 144932 181165 253631 266980 289864 362330 507262 533960 724660 1014524 1268155 1449320 2029048 2536310 5072620 10145240