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73130200 = 235211132557
BaseRepresentation
bin1000101101111…
…10000011011000
312002121101202221
410112332003120
5122210131300
611131233424
71545411403
oct426760330
9162541687
1073130200
1138309890
12205a8874
13121c6510
1499d8d3a
15664831a
hex45be0d8

73130200 has 96 divisors (see below), whose sum is σ = 199830960. Its totient is φ = 24537600.

The previous prime is 73130191. The next prime is 73130207. The reversal of 73130200 is 203137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73130207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27322 + ... + 29878.

Almost surely, 273130200 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 73130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99915480).

73130200 is an abundant number, since it is smaller than the sum of its proper divisors (126700760).

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

73130200 is a wasteful number, since it uses less digits than its factorization.

73130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 73130200 is about 8551.6197296185. The cubic root of 73130200 is about 418.1822423665.

Adding to 73130200 its reverse (203137), we get a palindrome (73333337).

The spelling of 73130200 in words is "seventy-three million, one hundred thirty 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 2557 2600 2860 3575 5114 5720 7150 10228 12785 14300 20456 25570 28127 28600 33241 51140 56254 63925 66482 102280 112508 127850 132964 140635 166205 225016 255700 265928 281270 332410 365651 511400 562540 664820 703175 731302 831025 1125080 1329640 1406350 1462604 1662050 1828255 2812700 2925208 3324100 3656510 5625400 6648200 7313020 9141275 14626040 18282550 36565100 73130200