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73230000 = 243542441
BaseRepresentation
bin1000101110101…
…10011010110000
312002210110200020
410113112122300
5122221330000
611133323440
71546305354
oct427263260
9162713606
1073230000
1138377868
1220636580
131222ca7c
149a23464
156667ba0
hex45d66b0

73230000 has 100 divisors (see below), whose sum is σ = 236493048. Its totient is φ = 19520000.

The previous prime is 73229969. The next prime is 73230007. The reversal of 73230000 is 3237.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (73230007) 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 19 ways as a sum of consecutive naturals, for example, 28780 + ... + 31220.

Almost surely, 273230000 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 73230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118246524).

73230000 is an abundant number, since it is smaller than the sum of its proper divisors (163263048).

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

73230000 is a wasteful number, since it uses less digits than its factorization.

73230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 73230000 is about 8557.4528920702. The cubic root of 73230000 is about 418.3723855051.

Adding to 73230000 its reverse (3237), we get a palindrome (73233237).

The spelling of 73230000 in words is "seventy-three million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2441 2500 3000 3750 4882 5000 6000 7323 7500 9764 10000 12205 14646 15000 19528 24410 29292 30000 36615 39056 48820 58584 61025 73230 97640 117168 122050 146460 183075 195280 244100 292920 305125 366150 488200 585840 610250 732300 915375 976400 1220500 1464600 1525625 1830750 2441000 2929200 3051250 3661500 4576875 4882000 6102500 7323000 9153750 12205000 14646000 18307500 24410000 36615000 73230000