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130641840 = 2432573232
BaseRepresentation
bin1111100100101…
…10111110110000
3100002211021220200
413302112332300
5231421014330
620544035200
73144303000
oct762267660
9302737820
10130641840
116782016a
1237902b00
13210b1984
14134ca000
15b708a60
hex7c96fb0

130641840 has 360 divisors, whose sum is σ = 534861600. Its totient is φ = 28562688.

The previous prime is 130641829. The next prime is 130641881. The reversal of 130641840 is 48146031.

130641840 is a `hidden beast` number, since 13 + 0 + 641 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5680069 + ... + 5680091.

Almost surely, 2130641840 is an apocalyptic number.

130641840 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 130641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267430800).

130641840 is an abundant number, since it is smaller than the sum of its proper divisors (404219760).

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

130641840 is a wasteful number, since it uses less digits than its factorization.

130641840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130641840 is about 11429.8661409485. The cubic root of 130641840 is about 507.4120339014.

Adding to 130641840 its reverse (48146031), we get a palindrome (178787871).

The spelling of 130641840 in words is "one hundred thirty million, six hundred forty-one thousand, eight hundred forty".