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130349800 = 23527247283
BaseRepresentation
bin1111100010011…
…11101011101000
3100002021110022101
413301033223220
5231332143200
620533503144
73141645400
oct761175350
9302243271
10130349800
1167640809
12377a1ab4
132100ba79
1413451800
15b69c26a
hex7c4fae8

130349800 has 144 divisors (see below), whose sum is σ = 361316160. Its totient is φ = 43585920.

The previous prime is 130349767. The next prime is 130349803. The reversal of 130349800 is 8943031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (130349803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460459 + ... + 460741.

It is an arithmetic number, because the mean of its divisors is an integer number (2509140).

Almost surely, 2130349800 is an apocalyptic number.

130349800 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 130349800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180658080).

130349800 is an abundant number, since it is smaller than the sum of its proper divisors (230966360).

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

130349800 is a wasteful number, since it uses less digits than its factorization.

130349800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 130349800 is about 11417.0836906804. The cubic root of 130349800 is about 507.0336580145.

The spelling of 130349800 in words is "one hundred thirty million, three hundred forty-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 49 50 56 70 94 98 100 140 175 188 196 200 235 245 280 283 329 350 376 392 470 490 566 658 700 940 980 1132 1175 1225 1316 1400 1415 1645 1880 1960 1981 2264 2303 2350 2450 2632 2830 3290 3962 4606 4700 4900 5660 6580 7075 7924 8225 9212 9400 9800 9905 11320 11515 13160 13301 13867 14150 15848 16450 18424 19810 23030 26602 27734 28300 32900 39620 46060 49525 53204 55468 56600 57575 65800 66505 69335 79240 92120 93107 99050 106408 110936 115150 133010 138670 186214 198100 230300 266020 277340 332525 346675 372428 396200 460600 465535 532040 554680 651749 665050 693350 744856 931070 1303498 1330100 1386700 1862140 2327675 2606996 2660200 2773400 3258745 3724280 4655350 5213992 6517490 9310700 13034980 16293725 18621400 26069960 32587450 65174900 130349800