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130304888 = 237192941103
BaseRepresentation
bin1111100010001…
…00101101111000
3100002012011200222
413301010231320
5231324224023
620532515212
73141400430
oct761045570
9302164628
10130304888
116760aa9a
123777bb08
1320cc44ac
141343d2c0
15b68dcc8
hex7c44b78

130304888 has 128 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 49351680.

The previous prime is 130304887. The next prime is 130304953. The reversal of 130304888 is 888403031.

Together with 184191111 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130304887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265045 + ... + 1265147.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2130304888 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 130304888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

130304888 is an abundant number, since it is smaller than the sum of its proper divisors (184191112).

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

130304888 is a wasteful number, since it uses less digits than its factorization.

130304888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 130304888 is about 11415.1166441697. The cubic root of 130304888 is about 506.9754185401.

The spelling of 130304888 in words is "one hundred thirty million, three hundred four thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 29 38 41 56 58 76 82 103 116 133 152 164 203 206 232 266 287 328 406 412 532 551 574 721 779 812 824 1064 1102 1148 1189 1442 1558 1624 1957 2204 2296 2378 2884 2987 3116 3857 3914 4223 4408 4756 5453 5768 5974 6232 7714 7828 8323 8446 9512 10906 11948 13699 15428 15656 16646 16892 20909 21812 22591 23896 27398 29561 30856 33292 33784 41818 43624 45182 54796 56753 59122 66584 80237 83636 90364 109592 113506 118244 122467 158137 160474 167272 180728 227012 236488 244934 316274 320948 397271 454024 489868 561659 632548 641896 794542 857269 979736 1123318 1265096 1589084 1714538 2246636 2326873 3178168 3429076 4493272 4653746 6858152 9307492 16288111 18614984 32576222 65152444 130304888