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130038900 = 223522914947
BaseRepresentation
bin1111100000000…
…11110001110100
3100001200122211120
413300003301310
5231242221100
620523103540
73136212105
oct760036164
9301618746
10130038900
1167449172
1237671bb0
1320c303c4
14133b03ac
15b63a0a0
hex7c03c74

130038900 has 72 divisors (see below), whose sum is σ = 389245920. Its totient is φ = 33479040.

The previous prime is 130038889. The next prime is 130038913. The reversal of 130038900 is 9830031.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1227 + ... + 16173.

Almost surely, 2130038900 is an apocalyptic number.

130038900 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 130038900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194622960).

130038900 is an abundant number, since it is smaller than the sum of its proper divisors (259207020).

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

130038900 is a wasteful number, since it uses less digits than its factorization.

130038900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14993 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 130038900 is about 11403.4600012452. The cubic root of 130038900 is about 506.6302249490.

Adding to 130038900 its reverse (9830031), we get a palindrome (139868931).

The spelling of 130038900 in words is "one hundred thirty million, thirty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 14947 29894 44841 59788 74735 89682 149470 179364 224205 298940 373675 433463 448410 747350 866926 896820 1121025 1300389 1494700 1733852 2167315 2242050 2600778 4334630 4484100 5201556 6501945 8669260 10836575 13003890 21673150 26007780 32509725 43346300 65019450 130038900