Search a number
-
+
73983780 = 22355131171
BaseRepresentation
bin1000110100011…
…10011100100100
312011012202200000
410122032130210
5122414440110
611201421300
71555565103
oct432163444
9164182600
1073983780
1138842122
122093a830
1312434bb0
149b7c03a
1567661c0
hex468e724

73983780 has 144 divisors (see below), whose sum is σ = 250845504. Its totient is φ = 18195840.

The previous prime is 73983769. The next prime is 73983799. The reversal of 73983780 is 8738937.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62595 + ... + 63765.

Almost surely, 273983780 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 73983780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125422752).

73983780 is an abundant number, since it is smaller than the sum of its proper divisors (176861724).

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

73983780 is a wasteful number, since it uses less digits than its factorization.

73983780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 73983780 is about 8601.3824470256. The cubic root of 73983780 is about 419.8029688073.

The spelling of 73983780 in words is "seventy-three million, nine hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1171 1215 1404 1620 1755 2106 2340 2342 2430 3159 3510 3513 4212 4684 4860 5265 5855 6318 7020 7026 10530 10539 11710 12636 14052 15223 15795 17565 21060 21078 23420 30446 31590 31617 35130 42156 45669 52695 60892 63180 63234 70260 76115 91338 94851 105390 126468 137007 152230 158085 182676 189702 210780 228345 274014 284553 304460 316170 379404 411021 456690 474255 548028 569106 632340 685035 822042 913380 948510 1138212 1233063 1370070 1422765 1644084 1897020 2055105 2466126 2740140 2845530 3699189 4110210 4932252 5691060 6165315 7398378 8220420 12330630 14796756 18495945 24661260 36991890 73983780