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20415150 = 2325276481
BaseRepresentation
bin100110111100…
…0001010101110
31102102012022200
41031320022232
520211241100
62005322330
7335345250
oct115701256
942365280
1020415150
1110584228
126a063a6
1342ca392
1429d5cd0
151bd3e00
hex13782ae

20415150 has 72 divisors (see below), whose sum is σ = 62693904. Its totient is φ = 4665600.

The previous prime is 20415149. The next prime is 20415163. The reversal of 20415150 is 5151402.

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

It is a congruent number.

It is an unprimeable number.

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, 91 + ... + 6390.

Almost surely, 220415150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20415150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31346952).

20415150 is an abundant number, since it is smaller than the sum of its proper divisors (42278754).

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

20415150 is a wasteful number, since it uses less digits than its factorization.

20415150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 20415150 is about 4518.3127381800. The cubic root of 20415150 is about 273.3070650280.

Adding to 20415150 its reverse (5151402), we get a palindrome (25566552).

The spelling of 20415150 in words is "twenty million, four hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 6481 12962 19443 32405 38886 45367 58329 64810 90734 97215 116658 136101 162025 194430 226835 272202 291645 324050 408303 453670 486075 583290 680505 816606 972150 1134175 1361010 1458225 2041515 2268350 2916450 3402525 4083030 6805050 10207575 20415150