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20001016 = 237337197
BaseRepresentation
bin100110001001…
…1000011111000
31101122011020101
41030103003320
520110013031
61552405144
7332002000
oct114230370
941564211
1020001016
1110321072
1268467b4
1341b3a29
142929000
151b51361
hex13130f8

20001016 has 64 divisors (see below), whose sum is σ = 45144000. Its totient is φ = 8297856.

The previous prime is 20001001. The next prime is 20001019. The reversal of 20001016 is 61010002.

It is a junction number, because it is equal to n+sod(n) for n = 20000993 and 20001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001019) 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 15 ways as a sum of consecutive naturals, for example, 101430 + ... + 101626.

It is an arithmetic number, because the mean of its divisors is an integer number (705375).

Almost surely, 220001016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572000).

20001016 is an abundant number, since it is smaller than the sum of its proper divisors (25142984).

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

20001016 is a wasteful number, since it uses less digits than its factorization.

20001016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 20001016 is about 4472.2495458103. The cubic root of 20001016 is about 271.4463579955.

Adding to 20001016 its reverse (61010002), we get a palindrome (81011018).

The spelling of 20001016 in words is "twenty million, one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 197 259 296 343 392 394 518 686 788 1036 1372 1379 1576 1813 2072 2744 2758 3626 5516 7252 7289 9653 11032 12691 14504 14578 19306 25382 29156 38612 50764 51023 58312 67571 77224 101528 102046 135142 204092 270284 357161 408184 540568 714322 1428644 2500127 2857288 5000254 10000508 20001016