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130323200 = 285272909
BaseRepresentation
bin1111100010010…
…01001100000000
3100002020002211012
413301021030000
5231330320300
620533140052
73141505010
oct761111400
9302202735
10130323200
1167622827
123778a628
1320ccc927
1413445c40
15b694435
hex7c49300

130323200 has 108 divisors (see below), whose sum is σ = 368778480. Its totient is φ = 44666880.

The previous prime is 130323161. The next prime is 130323211. The reversal of 130323200 is 2323031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43346 + ... + 46254.

Almost surely, 2130323200 is an apocalyptic number.

130323200 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 130323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184389240).

130323200 is an abundant number, since it is smaller than the sum of its proper divisors (238455280).

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

130323200 is an equidigital number, since it uses as much as digits as its factorization.

130323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 130323200 is about 11415.9187102922. The cubic root of 130323200 is about 506.9991661758. Note that the first 3 decimals are identical.

Adding to 130323200 its reverse (2323031), we get a palindrome (132646231).

The spelling of 130323200 in words is "one hundred thirty million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 2909 3200 4480 5600 5818 6400 8960 11200 11636 14545 20363 22400 23272 29090 40726 44800 46544 58180 72725 81452 93088 101815 116360 145450 162904 186176 203630 232720 290900 325808 372352 407260 465440 509075 581800 651616 744704 814520 930880 1018150 1163600 1303232 1629040 1861760 2036300 2327200 2606464 3258080 3723520 4072600 4654400 5212928 6516160 8145200 9308800 13032320 16290400 18617600 26064640 32580800 65161600 130323200