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130189680 = 2435537181
BaseRepresentation
bin1111100001010…
…00100101110000
3100001222022200000
413300220211300
5231312032210
620530230000
73140410515
oct760504560
9301868600
10130189680
1167541485
1237725300
1320c83c1a
141340d30c
15b669ac0
hex7c28970

130189680 has 240 divisors, whose sum is σ = 468240864. Its totient is φ = 33592320.

The previous prime is 130189679. The next prime is 130189687. The reversal of 130189680 is 86981031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130189687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719190 + ... + 719370.

Almost surely, 2130189680 is an apocalyptic number.

130189680 is a gapful number since it is divisible by the number (10) 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 130189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234120432).

130189680 is an abundant number, since it is smaller than the sum of its proper divisors (338051184).

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

130189680 is a wasteful number, since it uses less digits than its factorization.

130189680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 130189680 is about 11410.0692373009. The cubic root of 130189680 is about 506.8259617625.

The spelling of 130189680 in words is "one hundred thirty million, one hundred eighty-nine thousand, six hundred eighty".