Search a number
-
+
80122770 = 23457131087
BaseRepresentation
bin1001100011010…
…01001110010010
312120202122210000
410301221032102
5131002412040
611541150430
71662014040
oct461511622
9176678700
1080122770
1141255472
12229bb416
13137a4230
14a8d9390
15707a130
hex4c69392

80122770 has 160 divisors (see below), whose sum is σ = 265402368. Its totient is φ = 16889472.

The previous prime is 80122747. The next prime is 80122771. The reversal of 80122770 is 7722108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80122771) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73167 + ... + 74253.

Almost surely, 280122770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80122770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132701184).

80122770 is an abundant number, since it is smaller than the sum of its proper divisors (185279598).

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

80122770 is a wasteful number, since it uses less digits than its factorization.

80122770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 80122770 is about 8951.1323306049. The cubic root of 80122770 is about 431.1072419725.

Adding to 80122770 its reverse (7722108), we get a palindrome (87844878).

The spelling of 80122770 in words is "eighty million, one hundred twenty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1087 1134 1170 1365 1638 1755 1890 2106 2174 2457 2730 2835 3261 3510 4095 4914 5265 5435 5670 6522 7371 7609 8190 9783 10530 10870 12285 14131 14742 15218 16305 19566 22827 24570 28262 29349 32610 36855 38045 42393 45654 48915 58698 68481 70655 73710 76090 84786 88047 97830 98917 114135 127179 136962 141310 146745 176094 197834 205443 211965 228270 254358 293490 296751 342405 381537 410886 423930 440235 494585 593502 616329 635895 684810 763074 880470 890253 989170 1027215 1144611 1232658 1271790 1483755 1780506 1907685 2054430 2289222 2670759 2967510 3081645 3815370 4451265 5341518 5723055 6163290 8012277 8902530 11446110 13353795 16024554 26707590 40061385 80122770