Search a number
-
+
73036100 = 22525912379
BaseRepresentation
bin1000101101001…
…11000101000100
312002102121200202
410112213011010
5122144123400
611125230032
71544540144
oct426470504
9162377622
1073036100
1138255115
1220562318
1312192737
1499b2924
15662a4d5
hex45a7144

73036100 has 36 divisors (see below), whose sum is σ = 161187600. Its totient is φ = 28716960.

The previous prime is 73036069. The next prime is 73036121. The reversal of 73036100 is 163037.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 290 + ... + 12089.

Almost surely, 273036100 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 73036100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80593800).

73036100 is an abundant number, since it is smaller than the sum of its proper divisors (88151500).

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

73036100 is a wasteful number, since it uses less digits than its factorization.

73036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 73036100 is about 8546.1160769089. The cubic root of 73036100 is about 418.0028005887.

Adding to 73036100 its reverse (163037), we get a palindrome (73199137).

The spelling of 73036100 in words is "seventy-three million, thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 12379 24758 49516 61895 123790 247580 309475 618950 730361 1237900 1460722 2921444 3651805 7303610 14607220 18259025 36518050 73036100