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130044200 = 235211134547
BaseRepresentation
bin1111100000001…
…01000100101000
3100001200221002212
413300011010220
5231242403300
620523144252
73136233416
oct760050450
9301627085
10130044200
1167452150
1237675088
1320c32940
14133b22b6
15b63b935
hex7c05128

130044200 has 96 divisors (see below), whose sum is σ = 355289760. Its totient is φ = 43641600.

The previous prime is 130044193. The next prime is 130044209. The reversal of 130044200 is 2440031.

It is a super-2 number, since 2×1300442002 = 33822987907280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130044209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26327 + ... + 30873.

It is an arithmetic number, because the mean of its divisors is an integer number (3700935).

Almost surely, 2130044200 is an apocalyptic number.

130044200 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 130044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177644880).

130044200 is an abundant number, since it is smaller than the sum of its proper divisors (225245560).

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

130044200 is a wasteful number, since it uses less digits than its factorization.

130044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 130044200 is about 11403.6923844867. The cubic root of 130044200 is about 506.6371077708.

Adding to 130044200 its reverse (2440031), we get a palindrome (132484231).

The spelling of 130044200 in words is "one hundred thirty million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 2200 2600 2860 3575 4547 5720 7150 9094 14300 18188 22735 28600 36376 45470 50017 59111 90940 100034 113675 118222 181880 200068 227350 236444 250085 295555 400136 454700 472888 500170 591110 650221 909400 1000340 1182220 1250425 1300442 1477775 2000680 2364440 2500850 2600884 2955550 3251105 5001700 5201768 5911100 6502210 10003400 11822200 13004420 16255525 26008840 32511050 65022100 130044200