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130110408 = 23334631301
BaseRepresentation
bin1111100000101…
…01001111001000
3100001211021221000
413300111033020
5231302013113
620524415000
73136630431
oct760251710
9301737830
10130110408
116749796a
12376a7460
1320c56b0c
14133cc488
15b651373
hex7c153c8

130110408 has 64 divisors (see below), whose sum is σ = 362476800. Its totient is φ = 43243200.

The previous prime is 130110391. The next prime is 130110413. The reversal of 130110408 is 804011031.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99358 + ... + 100658.

It is an arithmetic number, because the mean of its divisors is an integer number (5663700).

Almost surely, 2130110408 is an apocalyptic number.

130110408 is a gapful number since it is divisible by the number (18) 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 130110408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181238400).

130110408 is an abundant number, since it is smaller than the sum of its proper divisors (232366392).

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

130110408 is a wasteful number, since it uses less digits than its factorization.

130110408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 130110408 is about 11406.5949345105. The cubic root of 130110408 is about 506.7230727445.

Adding to 130110408 its reverse (804011031), we get a palindrome (934121439).

The spelling of 130110408 in words is "one hundred thirty million, one hundred ten thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 463 926 1301 1389 1852 2602 2778 3704 3903 4167 5204 5556 7806 8334 10408 11112 11709 12501 15612 16668 23418 25002 31224 33336 35127 46836 50004 70254 93672 100008 140508 281016 602363 1204726 1807089 2409452 3614178 4818904 5421267 7228356 10842534 14456712 16263801 21685068 32527602 43370136 65055204 130110408