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130434120 = 23325418837
BaseRepresentation
bin1111100011001…
…00010001001000
3100002102201222100
413301210101020
5231342342440
620535353400
73142446255
oct761442110
9302381870
10130434120
11676990a3
1237822860
132103b26b
141347442c
15b6b7230
hex7c64448

130434120 has 96 divisors (see below), whose sum is σ = 434299320. Its totient is φ = 33930240.

The previous prime is 130434089. The next prime is 130434121. The reversal of 130434120 is 21434031.

130434120 is a `hidden beast` number, since 1 + 304 + 341 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113934276 + 16499844 = 10674^2 + 4062^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 130434093 and 130434102.

It is not an unprimeable number, because it can be changed into a prime (130434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10342 + ... + 19178.

Almost surely, 2130434120 is an apocalyptic number.

130434120 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 130434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217149660).

130434120 is an abundant number, since it is smaller than the sum of its proper divisors (303865200).

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

130434120 is a wasteful number, since it uses less digits than its factorization.

130434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130434120 is about 11420.7758055221. The cubic root of 130434120 is about 507.1429635465.

Adding to 130434120 its reverse (21434031), we get a palindrome (151868151).

The spelling of 130434120 in words is "one hundred thirty million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 8837 14760 17674 26511 35348 44185 53022 70696 79533 88370 106044 132555 159066 176740 212088 265110 318132 353480 362317 397665 530220 636264 724634 795330 1060440 1086951 1449268 1590660 1811585 2173902 2898536 3181320 3260853 3623170 4347804 5434755 6521706 7246340 8695608 10869510 13043412 14492680 16304265 21739020 26086824 32608530 43478040 65217060 130434120