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130583040 = 293572347
BaseRepresentation
bin1111100100010…
…00101000000000
3100002201022020220
413302020220000
5231412124130
620542503040
73143636400
oct762105000
9302638226
10130583040
116778aa75
1237894a80
1321090c93
14134b2800
15b6e6410
hex7c88a00

130583040 has 240 divisors, whose sum is σ = 487013472. Its totient is φ = 29761536.

The previous prime is 130583039. The next prime is 130583041. The reversal of 130583040 is 40385031.

It is an interprime number because it is at equal distance from previous prime (130583039) and next prime (130583041).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130583040.

It is not an unprimeable number, because it can be changed into a prime (130583041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376147 + ... + 376493.

Almost surely, 2130583040 is an apocalyptic number.

130583040 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 130583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243506736).

130583040 is an abundant number, since it is smaller than the sum of its proper divisors (356430432).

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

130583040 is an equidigital number, since it uses as much as digits as its factorization.

130583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 130583040 is about 11427.2936428535. The cubic root of 130583040 is about 507.3358962083.

The spelling of 130583040 in words is "one hundred thirty million, five hundred eighty-three thousand, forty".