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130366830 = 23511587673
BaseRepresentation
bin1111100010100…
…11110101101110
3100002022022200010
413301103311232
5231333214310
620534114050
73142046136
oct761236556
9302268603
10130366830
1167652590
12377ab926
1321016749
1413457ac6
15b6a2320
hex7c53d6e

130366830 has 64 divisors (see below), whose sum is σ = 342413568. Its totient is φ = 31503360.

The previous prime is 130366793. The next prime is 130366837. The reversal of 130366830 is 38663031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130366837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193374 + ... + 194046.

It is an arithmetic number, because the mean of its divisors is an integer number (5350212).

Almost surely, 2130366830 is an apocalyptic number.

130366830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130366830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171206784).

130366830 is an abundant number, since it is smaller than the sum of its proper divisors (212046738).

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

130366830 is a wasteful number, since it uses less digits than its factorization.

130366830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 130366830 is about 11417.8294784955. The cubic root of 130366830 is about 507.0557381076.

The spelling of 130366830 in words is "one hundred thirty million, three hundred sixty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 587 673 1174 1346 1761 2019 2935 3365 3522 4038 5870 6457 6730 7403 8805 10095 12914 14806 17610 19371 20190 22209 32285 37015 38742 44418 64570 74030 96855 111045 193710 222090 395051 790102 1185153 1975255 2370306 3950510 4345561 5925765 8691122 11851530 13036683 21727805 26073366 43455610 65183415 130366830