Search a number
-
+
73431540 = 223257134483
BaseRepresentation
bin1000110000001…
…11100111110100
312010011201010200
410120013213310
5122244302130
611141520500
71551105060
oct430074764
9163151120
1073431540
11384a5226
1220713130
13122a0720
149a76aa0
1566a7760
hex46079f4

73431540 has 144 divisors (see below), whose sum is σ = 274205568. Its totient is φ = 15489792.

The previous prime is 73431499. The next prime is 73431557. The reversal of 73431540 is 4513437.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14139 + ... + 18621.

Almost surely, 273431540 is an apocalyptic number.

73431540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73431540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137102784).

73431540 is an abundant number, since it is smaller than the sum of its proper divisors (200774028).

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

73431540 is a wasteful number, since it uses less digits than its factorization.

73431540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 73431540 is about 8569.2205013058. The cubic root of 73431540 is about 418.7558419026.

Adding to 73431540 its reverse (4513437), we get a palindrome (77944977).

The spelling of 73431540 in words is "seventy-three million, four hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 4483 5460 8190 8966 13449 16380 17932 22415 26898 31381 40347 44830 53796 58279 62762 67245 80694 89660 94143 116558 125524 134490 156905 161388 174837 188286 201735 233116 268980 282429 291395 313810 349674 376572 403470 407953 470715 524511 564858 582790 627620 699348 806940 815906 874185 941430 1049022 1129716 1165580 1223859 1412145 1631812 1748370 1882860 2039765 2098044 2447718 2622555 2824290 3496740 3671577 4079530 4895436 5245110 5648580 6119295 7343154 8159060 10490220 12238590 14686308 18357885 24477180 36715770 73431540