Search a number
-
+
69303780 = 223257134231
BaseRepresentation
bin1000010000101…
…11110111100100
311211101222220200
410020113313210
5120220210110
610513230500
71501033560
oct410276744
9154358820
1069303780
1136135a57
121b262430
1311486970
1492c06a0
15613e6c0
hex4217de4

69303780 has 144 divisors (see below), whose sum is σ = 258795264. Its totient is φ = 14618880.

The previous prime is 69303769. The next prime is 69303797. The reversal of 69303780 is 8730396.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14265 + ... + 18495.

Almost surely, 269303780 is an apocalyptic number.

69303780 is a gapful number since it is divisible by the number (60) 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 69303780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129397632).

69303780 is an abundant number, since it is smaller than the sum of its proper divisors (189491484).

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

69303780 is a wasteful number, since it uses less digits than its factorization.

69303780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 69303780 is about 8324.8891884517. The cubic root of 69303780 is about 410.7576314465.

The spelling of 69303780 in words is "sixty-nine million, three hundred three thousand, seven hundred eighty".

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 4231 5460 8190 8462 12693 16380 16924 21155 25386 29617 38079 42310 50772 55003 59234 63465 76158 84620 88851 110006 118468 126930 148085 152316 165009 177702 190395 220012 253860 266553 275015 296170 330018 355404 380790 385021 444255 495027 533106 550030 592340 660036 761580 770042 825045 888510 990054 1066212 1100060 1155063 1332765 1540084 1650090 1777020 1925105 1980108 2310126 2475135 2665530 3300180 3465189 3850210 4620252 4950270 5331060 5775315 6930378 7700420 9900540 11550630 13860756 17325945 23101260 34651890 69303780