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130206516 = 223112414093
BaseRepresentation
bin1111100001011…
…00101100110100
3100002000011202120
413300230230310
5231313102031
620530435540
73140510556
oct760545464
9302004676
10130206516
11675530a0
1237732bb0
1320c8b79b
14134154d6
15b66ea96
hex7c2cb34

130206516 has 48 divisors (see below), whose sum is σ = 332891328. Its totient is φ = 39283200.

The previous prime is 130206493. The next prime is 130206539. The reversal of 130206516 is 615602031.

It is an interprime number because it is at equal distance from previous prime (130206493) and next prime (130206539).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29766 + ... + 33858.

It is an arithmetic number, because the mean of its divisors is an integer number (6935236).

Almost surely, 2130206516 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 130206516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166445664).

130206516 is an abundant number, since it is smaller than the sum of its proper divisors (202684812).

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

130206516 is a wasteful number, since it uses less digits than its factorization.

130206516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 130206516 is about 11410.8069828562. The cubic root of 130206516 is about 506.8478082306.

Adding to 130206516 its reverse (615602031), we get a palindrome (745808547).

The spelling of 130206516 in words is "one hundred thirty million, two hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 482 723 964 1446 2651 2892 4093 5302 7953 8186 10604 12279 15906 16372 24558 31812 45023 49116 90046 135069 180092 270138 540276 986413 1972826 2959239 3945652 5918478 10850543 11836956 21701086 32551629 43402172 65103258 130206516