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73108420 = 225711291637
BaseRepresentation
bin1000101101110…
…00101111000100
312002120021220021
410112320233010
5122203432140
611130544524
71545261040
oct426705704
9162507807
1073108420
11382a4490
1220598144
13121b9628
1499d1020
156641b4a
hex45b8bc4

73108420 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 21987840.

The previous prime is 73108393. The next prime is 73108429. The reversal of 73108420 is 2480137.

It is not an unprimeable number, because it can be changed into a prime (73108429) 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 31 ways as a sum of consecutive naturals, for example, 43842 + ... + 45478.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 273108420 is an apocalyptic number.

73108420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73108420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

73108420 is an abundant number, since it is smaller than the sum of its proper divisors (125024060).

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

73108420 is a wasteful number, since it uses less digits than its factorization.

73108420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 73108420 is about 8550.3461918217. The cubic root of 73108420 is about 418.1407232058.

Adding to 73108420 its reverse (2480137), we get a palindrome (75588557).

The spelling of 73108420 in words is "seventy-three million, one hundred eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 1637 2030 2233 3190 3274 4060 4466 6380 6548 8185 8932 11165 11459 16370 18007 22330 22918 32740 36014 44660 45836 47473 57295 72028 90035 94946 114590 126049 180070 189892 229180 237365 252098 332311 360140 474730 504196 522203 630245 664622 949460 1044406 1260490 1329244 1661555 2088812 2520980 2611015 3323110 3655421 5222030 6646220 7310842 10444060 14621684 18277105 36554210 73108420