Search a number
-
+
73127140 = 22531791493
BaseRepresentation
bin1000101101111…
…01010011100100
312002121020120121
410112331103210
5122210032030
611131211324
71545366442
oct426752344
9162536517
1073127140
1138307559
12205a6b44
13121c4cc8
1499d7b92
15664747a
hex45bd4e4

73127140 has 48 divisors (see below), whose sum is σ = 160634880. Its totient is φ = 27930240.

The previous prime is 73127107. The next prime is 73127147. The reversal of 73127140 is 4172137.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 48234 + ... + 49726.

It is an arithmetic number, because the mean of its divisors is an integer number (3346560).

Almost surely, 273127140 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 73127140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80317440).

73127140 is an abundant number, since it is smaller than the sum of its proper divisors (87507740).

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

73127140 is a wasteful number, since it uses less digits than its factorization.

73127140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 73127140 is about 8551.4408142722. The cubic root of 73127140 is about 418.1764095938.

Adding to 73127140 its reverse (4172137), we get a palindrome (77299277).

The spelling of 73127140 in words is "seventy-three million, one hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 310 316 395 620 790 1493 1580 2449 2986 4898 5972 7465 9796 12245 14930 24490 29860 46283 48980 92566 117947 185132 231415 235894 462830 471788 589735 925660 1179470 2358940 3656357 7312714 14625428 18281785 36563570 73127140