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20507466 = 23729113149
BaseRepresentation
bin100111000111…
…0101101001010
31102120212221210
41032032231022
520222214331
62011313550
7336211350
oct116165512
942525853
1020507466
1110637621
126a4b8b6
1343303c5
142a1b7d0
151c01446
hex138eb4a

20507466 has 64 divisors (see below), whose sum is σ = 49248000. Its totient is φ = 5569536.

The previous prime is 20507429. The next prime is 20507471. The reversal of 20507466 is 66470502.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 137560 + ... + 137708.

It is an arithmetic number, because the mean of its divisors is an integer number (769500).

Almost surely, 220507466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20507466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624000).

20507466 is an abundant number, since it is smaller than the sum of its proper divisors (28740534).

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

20507466 is a wasteful number, since it uses less digits than its factorization.

20507466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 20507466 is about 4528.5169757880. The cubic root of 20507466 is about 273.7184046436.

Adding to 20507466 its reverse (66470502), we get a palindrome (86977968).

The spelling of 20507466 in words is "twenty million, five hundred seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 113 149 174 203 226 298 339 406 447 609 678 791 894 1043 1218 1582 2086 2373 3129 3277 4321 4746 6258 6554 8642 9831 12963 16837 19662 22939 25926 30247 33674 45878 50511 60494 68817 90741 101022 117859 137634 181482 235718 353577 488273 707154 976546 1464819 2929638 3417911 6835822 10253733 20507466