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20006520 = 2335295749
BaseRepresentation
bin100110001010…
…0011001111000
31101122102210020
41030110121320
520110202040
61552450440
7332024022
oct114243170
941572706
1020006520
1110325216
126849a20
1341b63a1
14292b012
151b52cd0
hex1314678

20006520 has 64 divisors (see below), whose sum is σ = 62100000. Its totient is φ = 5150208.

The previous prime is 20006509. The next prime is 20006531. The reversal of 20006520 is 2560002.

It is an interprime number because it is at equal distance from previous prime (20006509) and next prime (20006531).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20006520.

It is a congruent number.

It is an unprimeable number.

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, 606 + ... + 6354.

Almost surely, 220006520 is an apocalyptic number.

20006520 is a gapful number since it is divisible by the number (20) 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 20006520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31050000).

20006520 is an abundant number, since it is smaller than the sum of its proper divisors (42093480).

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

20006520 is a wasteful number, since it uses less digits than its factorization.

20006520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20006520 is about 4472.8648537598. The cubic root of 20006520 is about 271.4712551262.

Adding to 20006520 its reverse (2560002), we get a palindrome (22566522).

The spelling of 20006520 in words is "twenty million, six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 5749 11498 17247 22996 28745 34494 45992 57490 68988 86235 114980 137976 166721 172470 229960 333442 344940 500163 666884 689880 833605 1000326 1333768 1667210 2000652 2500815 3334420 4001304 5001630 6668840 10003260 20006520