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73115028 = 22337175689
BaseRepresentation
bin1000101101110…
…10010110010100
312002120121222000
410112322112110
5122204140103
611131035300
71545316230
oct426722624
9162517860
1073115028
11382a9448
122059bb30
13121bc63c
1499d35c0
156643aa3
hex45ba594

73115028 has 96 divisors (see below), whose sum is σ = 229420800. Its totient is φ = 19657728.

The previous prime is 73114969. The next prime is 73115041. The reversal of 73115028 is 82051137.

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

It is a junction number, because it is equal to n+sod(n) for n = 73114992 and 73115010.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10008 + ... + 15696.

It is an arithmetic number, because the mean of its divisors is an integer number (2389800).

Almost surely, 273115028 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 73115028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114710400).

73115028 is an abundant number, since it is smaller than the sum of its proper divisors (156305772).

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

73115028 is a wasteful number, since it uses less digits than its factorization.

73115028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 73115028 is about 8550.7326001928. The cubic root of 73115028 is about 418.1533208913.

The spelling of 73115028 in words is "seventy-three million, one hundred fifteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 5689 6426 11378 12852 17067 22756 34134 39823 51201 68268 79646 96713 102402 119469 153603 159292 193426 204804 238938 290139 307206 358407 386852 477876 580278 614412 676991 716814 870417 1075221 1160556 1353982 1433628 1740834 2030973 2150442 2611251 2707964 3481668 4061946 4300884 5222502 6092919 8123892 10445004 12185838 18278757 24371676 36557514 73115028