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73461136 = 2475911117
BaseRepresentation
bin1000110000011…
…10110110010000
312010020012201211
410120032312100
5122301224021
611142305504
71551260260
oct430166620
9163205654
1073461136
1138515491
1220728294
13122b1038
149a837a0
1566b13e1
hex460ed90

73461136 has 40 divisors (see below), whose sum is σ = 165435840. Its totient is φ = 30946944.

The previous prime is 73461133. The next prime is 73461151. The reversal of 73461136 is 63116437.

It is a junction number, because it is equal to n+sod(n) for n = 73461098 and 73461107.

It is not an unprimeable number, because it can be changed into a prime (73461133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050 + ... + 12166.

It is an arithmetic number, because the mean of its divisors is an integer number (4135896).

Almost surely, 273461136 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 73461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82717920).

73461136 is an abundant number, since it is smaller than the sum of its proper divisors (91974704).

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

73461136 is a wasteful number, since it uses less digits than its factorization.

73461136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191 (or 11185 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 73461136 is about 8570.9472055310. The cubic root of 73461136 is about 418.8120930868.

The spelling of 73461136 in words is "seventy-three million, four hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 11117 22234 44468 77819 88936 155638 177872 311276 622552 655903 1245104 1311806 2623612 4591321 5247224 9182642 10494448 18365284 36730568 73461136