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73060380 = 223655011
BaseRepresentation
bin1000101101011…
…01000000011100
312002110212000000
410112231000130
5122200413010
611125534300
71545001011
oct426550034
9162425000
1073060380
1138271388
1220574390
13121a07c3
1499bb708
1566327c0
hex45ad01c

73060380 has 84 divisors (see below), whose sum is σ = 230080872. Its totient is φ = 19478880.

The previous prime is 73060357. The next prime is 73060387. The reversal of 73060380 is 8306037.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73060387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12075 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (2739058).

Almost surely, 273060380 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 73060380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115040436).

73060380 is an abundant number, since it is smaller than the sum of its proper divisors (157020492).

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

73060380 is a wasteful number, since it uses less digits than its factorization.

73060380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73060380 is about 8547.5364871991. The cubic root of 73060380 is about 418.0491155094.

The spelling of 73060380 in words is "seventy-three million, sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 5011 7290 10022 14580 15033 20044 25055 30066 45099 50110 60132 75165 90198 100220 135297 150330 180396 225495 270594 300660 405891 450990 541188 676485 811782 901980 1217673 1352970 1623564 2029455 2435346 2705940 3653019 4058910 4870692 6088365 7306038 8117820 12176730 14612076 18265095 24353460 36530190 73060380