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73127142 = 232112271627
BaseRepresentation
bin1000101101111…
…01010011100110
312002121020120200
410112331103212
5122210032032
611131211330
71545366444
oct426752346
9162536520
1073127142
1138307560
12205a6b46
13121c4cca
1499d7b94
15664747c
hex45bd4e6

73127142 has 48 divisors (see below), whose sum is σ = 173714112. Its totient is φ = 22048560.

The previous prime is 73127107. The next prime is 73127147. The reversal of 73127142 is 24172137.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73127147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44133 + ... + 45759.

It is an arithmetic number, because the mean of its divisors is an integer number (3619044).

Almost surely, 273127142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73127142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86857056).

73127142 is an abundant number, since it is smaller than the sum of its proper divisors (100586970).

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

73127142 is a wasteful number, since it uses less digits than its factorization.

73127142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1870 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 73127142 is about 8551.4409312115. The cubic root of 73127142 is about 418.1764134061.

Adding to 73127142 its reverse (24172137), we get a palindrome (97299279).

The spelling of 73127142 in words is "seventy-three million, one hundred twenty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 454 681 1362 1627 2043 2497 3254 4086 4881 4994 7491 9762 14643 14982 17897 22473 29286 35794 44946 53691 107382 161073 322146 369329 738658 1107987 2215974 3323961 4062619 6647922 8125238 12187857 24375714 36563571 73127142