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130210416 = 2434731463
BaseRepresentation
bin1111100001011…
…01101001110000
3100002000101010000
413300231221300
5231313213131
620530510000
73140525130
oct760555160
9302011100
10130210416
1167556016
1237735300
1320c904ab
1413416ac0
15b670ce6
hex7c2da70

130210416 has 200 divisors, whose sum is σ = 445558784. Its totient is φ = 35925120.

The previous prime is 130210411. The next prime is 130210459. The reversal of 130210416 is 614012031.

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 (130210411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281001 + ... + 281463.

Almost surely, 2130210416 is an apocalyptic number.

130210416 is a gapful number since it is divisible by the number (16) 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 130210416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222779392).

130210416 is an abundant number, since it is smaller than the sum of its proper divisors (315348368).

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

130210416 is a wasteful number, since it uses less digits than its factorization.

130210416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130210416 is about 11410.9778722071. The cubic root of 130210416 is about 506.8528686192.

Adding to 130210416 its reverse (614012031), we get a palindrome (744222447).

The spelling of 130210416 in words is "one hundred thirty million, two hundred ten thousand, four hundred sixteen".