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73116340 = 225114359131
BaseRepresentation
bin1000101101110…
…10101010110100
312002120200202121
410112322222310
5122204210330
611131045324
71545323113
oct426725264
9162520677
1073116340
11382aa430
12205a0844
13121c010b
1499d3c7a
15664417a
hex45baab4

73116340 has 96 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 25334400.

The previous prime is 73116331. The next prime is 73116341. The reversal of 73116340 is 4361137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73116341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558075 + ... + 558205.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 273116340 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 73116340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

73116340 is an abundant number, since it is smaller than the sum of its proper divisors (102517580).

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

73116340 is a wasteful number, since it uses less digits than its factorization.

73116340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 73116340 is about 8550.8093184213. The cubic root of 73116340 is about 418.1558220364.

Adding to 73116340 its reverse (4361137), we get a palindrome (77477477).

It can be divided in two parts, 731 and 16340, that added together give a palindrome (17071).

The spelling of 73116340 in words is "seventy-three million, one hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 59 86 110 118 131 172 215 220 236 262 295 430 473 524 590 649 655 860 946 1180 1298 1310 1441 1892 2365 2537 2596 2620 2882 3245 4730 5074 5633 5764 6490 7205 7729 9460 10148 11266 12685 12980 14410 15458 22532 25370 27907 28165 28820 30916 38645 50740 55814 56330 61963 77290 85019 111628 112660 123926 139535 154580 170038 247852 279070 309815 332347 340076 425095 558140 619630 664694 850190 1239260 1329388 1661735 1700380 3323470 3655817 6646940 7311634 14623268 18279085 36558170 73116340