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73125300 = 223521912829
BaseRepresentation
bin1000101101111…
…00110110110100
312002121011001110
410112330312310
5122210002200
611131155020
71545361203
oct426746664
9162534043
1073125300
1138306136
12205a5a70
13121c4211
1499d723a
156646b50
hex45bcdb4

73125300 has 72 divisors (see below), whose sum is σ = 222728800. Its totient is φ = 18472320.

The previous prime is 73125289. The next prime is 73125301. The reversal of 73125300 is 352137.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73125301) 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, 715 + ... + 12114.

Almost surely, 273125300 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 73125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111364400).

73125300 is an abundant number, since it is smaller than the sum of its proper divisors (149603500).

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

73125300 is a wasteful number, since it uses less digits than its factorization.

73125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 73125300 is about 8551.3332293859. Note that the first 3 decimals coincide. The cubic root of 73125300 is about 418.1729022273.

Adding to 73125300 its reverse (352137), we get a palindrome (73477437).

The spelling of 73125300 in words is "seventy-three million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 12829 25658 38487 51316 64145 76974 128290 153948 192435 243751 256580 320725 384870 487502 641450 731253 769740 962175 975004 1218755 1282900 1462506 1924350 2437510 2925012 3656265 3848700 4875020 6093775 7312530 12187550 14625060 18281325 24375100 36562650 73125300