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73112020 = 22541163547
BaseRepresentation
bin1000101101110…
…01100111010100
312002120110211121
410112321213110
5122204041040
611131013324
71545304402
oct426714724
9162513747
1073112020
11382a7163
122059a244
13121bb167
1499d2472
156642c4a
hex45b99d4

73112020 has 48 divisors (see below), whose sum is σ = 158534208. Its totient is φ = 28304640.

The previous prime is 73111991. The next prime is 73112021. The reversal of 73112020 is 2021137.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73111985 and 73112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73112021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133387 + ... + 133933.

It is an arithmetic number, because the mean of its divisors is an integer number (3302796).

Almost surely, 273112020 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 73112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79267104).

73112020 is an abundant number, since it is smaller than the sum of its proper divisors (85422188).

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

73112020 is a wasteful number, since it uses less digits than its factorization.

73112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 73112020 is about 8550.5567070221. The cubic root of 73112020 is about 418.1475864458.

Adding to 73112020 its reverse (2021137), we get a palindrome (75133157).

The spelling of 73112020 in words is "seventy-three million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 163 164 205 326 410 547 652 815 820 1094 1630 2188 2735 3260 5470 6683 10940 13366 22427 26732 33415 44854 66830 89161 89708 112135 133660 178322 224270 356644 445805 448540 891610 1783220 3655601 7311202 14622404 18278005 36556010 73112020