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130723800 = 233521911467
BaseRepresentation
bin1111100101010…
…10111111011000
3100002222110100020
413302222333120
5231431130200
620545510440
73145063644
oct762527730
9302873306
10130723800
11678767a9
1237942420
132111007c
141350bc24
15b722ea0
hex7caafd8

130723800 has 96 divisors (see below), whose sum is σ = 426609600. Its totient is φ = 33022080.

The previous prime is 130723799. The next prime is 130723837. The reversal of 130723800 is 8327031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5667 + ... + 17133.

It is an arithmetic number, because the mean of its divisors is an integer number (4443850).

Almost surely, 2130723800 is an apocalyptic number.

130723800 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 130723800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213304800).

130723800 is an abundant number, since it is smaller than the sum of its proper divisors (295885800).

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

130723800 is a wasteful number, since it uses less digits than its factorization.

130723800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 130723800 is about 11433.4509226217. The cubic root of 130723800 is about 507.5181224166.

The spelling of 130723800 in words is "one hundred thirty million, seven hundred twenty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 11467 22934 34401 45868 57335 68802 91736 114670 137604 172005 217873 229340 275208 286675 344010 435746 458680 573350 653619 688020 860025 871492 1089365 1146700 1307238 1376040 1720050 1742984 2178730 2293400 2614476 3268095 3440100 4357460 5228952 5446825 6536190 6880200 8714920 10893650 13072380 16340475 21787300 26144760 32680950 43574600 65361900 130723800