Search a number
-
+
80628660 = 22325789719
BaseRepresentation
bin1001100111001…
…00101110110100
312121201100201200
410303210232310
5131120104120
612000052500
71666221660
oct463445664
9177640650
1080628660
1141570562
1223004130
1313920588
14a9cb8a0
157129e90
hex4ce4bb4

80628660 has 144 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 18196992.

The previous prime is 80628659. The next prime is 80628677. The reversal of 80628660 is 6682608.

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

It is a congruent number.

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, 111781 + ... + 112499.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 280628660 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 80628660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

80628660 is an abundant number, since it is smaller than the sum of its proper divisors (202417740).

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

80628660 is a wasteful number, since it uses less digits than its factorization.

80628660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80628660 is about 8979.3463013741. The cubic root of 80628660 is about 432.0126668097.

The spelling of 80628660 in words is "eighty million, six hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 719 801 890 1068 1246 1260 1335 1438 1602 1780 1869 2157 2492 2670 2876 3115 3204 3595 3738 4005 4314 5033 5340 5607 6230 6471 7190 7476 8010 8628 9345 10066 10785 11214 12460 12942 14380 15099 16020 18690 20132 21570 22428 25165 25884 28035 30198 32355 37380 43140 45297 50330 56070 60396 63991 64710 75495 90594 100660 112140 127982 129420 150990 181188 191973 226485 255964 301980 319955 383946 447937 452970 575919 639910 767892 895874 905940 959865 1151838 1279820 1343811 1791748 1919730 2239685 2303676 2687622 2879595 3839460 4031433 4479370 5375244 5759190 6719055 8062866 8958740 11518380 13438110 16125732 20157165 26876220 40314330 80628660