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130004120 = 23567179271
BaseRepresentation
bin1111011111110…
…11010010011000
3100001121220010102
413233323102120
5231240112440
620522234532
73136005521
oct757732230
9301556112
10130004120
1167425024
1237655a48
1320c1a61c
14133a1848
15b62eb15
hex7bfb498

130004120 has 64 divisors (see below), whose sum is σ = 299635200. Its totient is φ = 50751360.

The previous prime is 130004089. The next prime is 130004123. The reversal of 130004120 is 21400031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130004123) 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, 479585 + ... + 479855.

It is an arithmetic number, because the mean of its divisors is an integer number (4681800).

Almost surely, 2130004120 is an apocalyptic number.

130004120 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 130004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

130004120 is an abundant number, since it is smaller than the sum of its proper divisors (169631080).

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

130004120 is a wasteful number, since it uses less digits than its factorization.

130004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 130004120 is about 11401.9349235119. The cubic root of 130004120 is about 506.5850534135.

Adding to 130004120 its reverse (21400031), we get a palindrome (151404151).

The spelling of 130004120 in words is "one hundred thirty million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 179 268 271 335 358 536 542 670 716 895 1084 1340 1355 1432 1790 2168 2680 2710 3580 5420 7160 10840 11993 18157 23986 36314 47972 48509 59965 72628 90785 95944 97018 119930 145256 181570 194036 239860 242545 363140 388072 479720 485090 726280 970180 1940360 3250103 6500206 13000412 16250515 26000824 32501030 65002060 130004120