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20510064 = 2433197241
BaseRepresentation
bin100111000111…
…1010101110000
31102121000112000
41032033111300
520222310224
62011334000
7336222051
oct116172560
942530460
1020510064
1110639573
126a51300
134331643
142a1c728
151c020c9
hex138f570

20510064 has 80 divisors (see below), whose sum is σ = 59415840. Its totient is φ = 6773760.

The previous prime is 20510053. The next prime is 20510069. The reversal of 20510064 is 46001502.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20510069) 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, 84984 + ... + 85224.

It is an arithmetic number, because the mean of its divisors is an integer number (742698).

Almost surely, 220510064 is an apocalyptic number.

20510064 is a gapful number since it is divisible by the number (24) 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 20510064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707920).

20510064 is an abundant number, since it is smaller than the sum of its proper divisors (38905776).

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

20510064 is a wasteful number, since it uses less digits than its factorization.

20510064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

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

The square root of 20510064 is about 4528.8038155787. The cubic root of 20510064 is about 273.7299628795.

Adding to 20510064 its reverse (46001502), we get a palindrome (66511566).

The spelling of 20510064 in words is "twenty million, five hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 197 216 241 394 432 482 591 723 788 964 1182 1446 1576 1773 1928 2169 2364 2892 3152 3546 3856 4338 4728 5319 5784 6507 7092 8676 9456 10638 11568 13014 14184 17352 21276 26028 28368 34704 42552 47477 52056 85104 94954 104112 142431 189908 284862 379816 427293 569724 759632 854586 1139448 1281879 1709172 2278896 2563758 3418344 5127516 6836688 10255032 20510064