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20040516 = 22321983353
BaseRepresentation
bin100110001110…
…0101101000100
31101201011102100
41030130231010
520112244031
61553312100
7332225106
oct114345504
941634370
1020040516
1110348811
126865630
1341c89c2
142939576
151b5cde6
hex131cb44

20040516 has 72 divisors (see below), whose sum is σ = 54119520. Its totient is φ = 6234624.

The previous prime is 20040509. The next prime is 20040523. The reversal of 20040516 is 61504002.

20040516 = T653 + T654 + ... + T735.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20040509) and next prime (20040523).

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

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 23 ways as a sum of consecutive naturals, for example, 56596 + ... + 56948.

It is an arithmetic number, because the mean of its divisors is an integer number (751660).

Almost surely, 220040516 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 20040516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27059760).

20040516 is an abundant number, since it is smaller than the sum of its proper divisors (34079004).

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

20040516 is a wasteful number, since it uses less digits than its factorization.

20040516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

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

The square root of 20040516 is about 4476.6634896986. The cubic root of 20040516 is about 271.6249335988.

Adding to 20040516 its reverse (61504002), we get a palindrome (81544518).

The spelling of 20040516 in words is "twenty million, forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 353 498 684 706 747 996 1059 1412 1494 1577 2118 2988 3154 3177 4236 4731 6308 6354 6707 9462 12708 13414 14193 18924 20121 26828 28386 29299 40242 56772 58598 60363 80484 87897 117196 120726 175794 241452 263691 351588 527382 556681 1054764 1113362 1670043 2226724 3340086 5010129 6680172 10020258 20040516