Search a number
-
+
80268930 = 232571031237
BaseRepresentation
bin1001100100011…
…00111010000010
312121001002021100
410302030322002
5131022101210
611544235230
71663163130
oct462147202
9177032240
1080268930
1141345265
1222a6bb16
1313825911
14a936750
1570a85c0
hex4c8ce82

80268930 has 96 divisors (see below), whose sum is σ = 241023744. Its totient is φ = 18154368.

The previous prime is 80268911. The next prime is 80268931. The reversal of 80268930 is 3986208.

It is a super-2 number, since 2×802689302 = 12886202246689800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80268931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64272 + ... + 65508.

It is an arithmetic number, because the mean of its divisors is an integer number (2510664).

Almost surely, 280268930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80268930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120511872).

80268930 is an abundant number, since it is smaller than the sum of its proper divisors (160754814).

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

80268930 is a wasteful number, since it uses less digits than its factorization.

80268930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80268930 is about 8959.2929408520. The cubic root of 80268930 is about 431.3692247547.

The spelling of 80268930 in words is "eighty million, two hundred sixty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 103 105 126 206 210 309 315 515 618 630 721 927 1030 1237 1442 1545 1854 2163 2474 3090 3605 3711 4326 4635 6185 6489 7210 7422 8659 9270 10815 11133 12370 12978 17318 18555 21630 22266 25977 32445 37110 43295 51954 55665 64890 77931 86590 111330 127411 129885 155862 254822 259770 382233 389655 637055 764466 779310 891877 1146699 1274110 1783754 1911165 2293398 2675631 3822330 4459385 5351262 5733495 8026893 8918770 11466990 13378155 16053786 26756310 40134465 80268930