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73098036 = 223211297173
BaseRepresentation
bin1000101101101…
…10001100110100
312002112202122200
410112312030310
5122203114121
611130424500
71545215544
oct426661464
9162482580
1073098036
1138297700
1220592130
13121b499b
1499cb324
15663da26
hex45b6334

73098036 has 108 divisors (see below), whose sum is σ = 206380356. Its totient is φ = 21795840.

The previous prime is 73098023. The next prime is 73098061. The reversal of 73098036 is 63089037.

It can be written as a sum of positive squares in 2 ways, for example, as 51753636 + 21344400 = 7194^2 + 4620^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 422446 + ... + 422618.

Almost surely, 273098036 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 73098036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103190178).

73098036 is an abundant number, since it is smaller than the sum of its proper divisors (133282320).

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

73098036 is a wasteful number, since it uses less digits than its factorization.

73098036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73098036 is about 8549.7389433830. The cubic root of 73098036 is about 418.1209253090.

The spelling of 73098036 in words is "seventy-three million, ninety-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 121 132 173 194 198 242 291 346 363 388 396 484 519 582 692 726 873 1038 1067 1089 1164 1452 1557 1746 1903 2076 2134 2178 3114 3201 3492 3806 4268 4356 5709 6228 6402 7612 9603 11418 11737 12804 16781 17127 19206 20933 22836 23474 33562 34254 35211 38412 41866 46948 50343 62799 67124 68508 70422 83732 100686 105633 125598 140844 151029 184591 188397 201372 211266 251196 302058 369182 376794 422532 553773 604116 738364 753588 1107546 1661319 2030501 2215092 3322638 4061002 6091503 6645276 8122004 12183006 18274509 24366012 36549018 73098036