Search a number
-
+
80273424 = 24371137587
BaseRepresentation
bin1001100100011…
…10000000010000
312121001022102210
410302032000100
5131022222144
611544312120
71663212210
oct462160020
9177038383
1080273424
1141348680
1222a72640
131382798a
14a938240
1570a9ab9
hex4c8e010

80273424 has 160 divisors (see below), whose sum is σ = 265982976. Its totient is φ = 20252160.

The previous prime is 80273419. The next prime is 80273441. The reversal of 80273424 is 42437208.

It is a junction number, because it is equal to n+sod(n) for n = 80273391 and 80273400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136459 + ... + 137045.

Almost surely, 280273424 is an apocalyptic number.

80273424 is a gapful number since it is divisible by the number (84) 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 80273424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132991488).

80273424 is an abundant number, since it is smaller than the sum of its proper divisors (185709552).

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

80273424 is a wasteful number, since it uses less digits than its factorization.

80273424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 80273424 is about 8959.5437383831. The cubic root of 80273424 is about 431.3772749310.

The spelling of 80273424 in words is "eighty million, two hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 587 592 616 777 814 888 924 1036 1174 1221 1232 1554 1628 1761 1776 1848 2072 2348 2442 2849 3108 3256 3522 3696 4109 4144 4696 4884 5698 6216 6457 6512 7044 8218 8547 9392 9768 11396 12327 12432 12914 14088 16436 17094 19371 19536 21719 22792 24654 25828 28176 32872 34188 38742 43438 45199 45584 49308 51656 65157 65744 68376 77484 86876 90398 98616 103312 130314 135597 136752 152033 154968 173752 180796 197232 238909 260628 271194 304066 309936 347504 361592 456099 477818 521256 542388 608132 716727 723184 912198 955636 1042512 1084776 1216264 1433454 1672363 1824396 1911272 2169552 2432528 2866908 3344726 3648792 3822544 5017089 5733816 6689452 7297584 10034178 11467632 13378904 20068356 26757808 40136712 80273424