Search a number
-
+
10133040 = 243542221
BaseRepresentation
bin100110101001…
…111000110000
3201001210220210
4212221320300
510043224130
61001104120
7152062251
oct46517060
921053823
1010133040
1157a1115
123488040
13213a2a8
1414bab28
15d525b0
hex9a9e30

10133040 has 40 divisors (see below), whose sum is σ = 31413168. Its totient is φ = 2702080.

The previous prime is 10133033. The next prime is 10133047. The reversal of 10133040 is 4033101.

It is an interprime number because it is at equal distance from previous prime (10133033) and next prime (10133047).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10133047) 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, 20871 + ... + 21350.

Almost surely, 210133040 is an apocalyptic number.

10133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133040 is an abundant number, since it is smaller than the sum of its proper divisors (21280128).

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

10133040 is a wasteful number, since it uses less digits than its factorization.

10133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42237 (or 42231 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10133040 is about 3183.2436287535. The cubic root of 10133040 is about 216.3946830455.

Adding to 10133040 its reverse (4033101), we get a palindrome (14166141).

The spelling of 10133040 in words is "ten million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42221 84442 126663 168884 211105 253326 337768 422210 506652 633315 675536 844420 1013304 1266630 1688840 2026608 2533260 3377680 5066520 10133040