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130004136 = 23334313997
BaseRepresentation
bin1111011111110…
…11010010101000
3100001121220011000
413233323102220
5231240113021
620522235000
73136005543
oct757732250
9301556130
10130004136
1167425039
1237655a60
1320c1a632
14133a185a
15b62eb26
hex7bfb4a8

130004136 has 64 divisors (see below), whose sum is σ = 369547200. Its totient is φ = 42323904.

The previous prime is 130004131. The next prime is 130004183. The reversal of 130004136 is 631400031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130004131) 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 15 ways as a sum of consecutive naturals, for example, 2290 + ... + 16286.

It is an arithmetic number, because the mean of its divisors is an integer number (5774175).

Almost surely, 2130004136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130004136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184773600).

130004136 is an abundant number, since it is smaller than the sum of its proper divisors (239543064).

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

130004136 is a wasteful number, since it uses less digits than its factorization.

130004136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055 (or 14045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130004136 is about 11401.9356251472. The cubic root of 130004136 is about 506.5850741958.

Adding to 130004136 its reverse (631400031), we get a palindrome (761404167).

The spelling of 130004136 in words is "one hundred thirty million, four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 13997 27994 41991 55988 83982 111976 125973 167964 251946 335928 377919 503892 601871 755838 1007784 1203742 1511676 1805613 2407484 3023352 3611226 4814968 5416839 7222452 10833678 14444904 16250517 21667356 32501034 43334712 65002068 130004136