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10413450 = 2325273317
BaseRepresentation
bin100111101110…
…010110001010
3201121001120100
4213232112022
510131212300
61011110230
7154340625
oct47562612
921531510
1010413450
115972863
1235a2376
132207b08
141550dbc
15daa700
hex9ee58a

10413450 has 72 divisors (see below), whose sum is σ = 28450188. Its totient is φ = 2730240.

The previous prime is 10413449. The next prime is 10413451. The reversal of 10413450 is 5431401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10413449) and next prime (10413451).

It can be written as a sum of positive squares in 6 ways, for example, as 1610361 + 8803089 = 1269^2 + 2967^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10413451) 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 35 ways as a sum of consecutive naturals, for example, 32692 + ... + 33008.

Almost surely, 210413450 is an apocalyptic number.

10413450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225094).

10413450 is an abundant number, since it is smaller than the sum of its proper divisors (18036738).

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

10413450 is a wasteful number, since it uses less digits than its factorization.

10413450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10413450 is about 3226.9877595058. The cubic root of 10413450 is about 218.3726337324.

Adding to 10413450 its reverse (5431401), we get a palindrome (15844851).

The spelling of 10413450 in words is "ten million, four hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 317 365 438 450 634 657 730 951 1095 1314 1585 1825 1902 2190 2853 3170 3285 3650 4755 5475 5706 6570 7925 9510 10950 14265 15850 16425 23141 23775 28530 32850 46282 47550 69423 71325 115705 138846 142650 208269 231410 347115 416538 578525 694230 1041345 1157050 1735575 2082690 3471150 5206725 10413450