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80411040 = 25325192939
BaseRepresentation
bin1001100101011…
…11100110100000
312121022022012200
410302233212200
5131041123130
611551253200
71664324343
oct462574640
9177268180
1080411040
1141432006
1222b1a200
13138754c8
14a97245a
1570d5760
hex4caf9a0

80411040 has 144 divisors (see below), whose sum is σ = 288943200. Its totient is φ = 20307456.

The previous prime is 80411029. The next prime is 80411053. The reversal of 80411040 is 4011408.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 25891 + ... + 28829.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 280411040 is an apocalyptic number.

80411040 is a gapful number since it is divisible by the number (80) 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 80411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

80411040 is an abundant number, since it is smaller than the sum of its proper divisors (208532160).

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

80411040 is a wasteful number, since it uses less digits than its factorization.

80411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80411040 is about 8967.2203050890. The cubic root of 80411040 is about 431.6236434083.

Adding to 80411040 its reverse (4011408), we get a palindrome (84422448).

The spelling of 80411040 in words is "eighty million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 2939 3040 3420 4560 5472 5878 6840 8817 9120 11756 13680 14695 17634 23512 26451 27360 29390 35268 44085 47024 52902 55841 58780 70536 88170 94048 105804 111682 117560 132255 141072 167523 176340 211608 223364 235120 264510 279205 282144 335046 352680 423216 446728 470240 502569 529020 558410 670092 705360 837615 846432 893456 1005138 1058040 1116820 1340184 1410720 1675230 1786912 2010276 2116080 2233640 2512845 2680368 3350460 4020552 4232160 4467280 5025690 5360736 6700920 8041104 8934560 10051380 13401840 16082208 20102760 26803680 40205520 80411040