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80381840 = 24571113049
BaseRepresentation
bin1001100101010…
…00011110010000
312121020211011012
410302220132100
5131034204330
611550510052
71664143250
oct462503620
9177224135
1080381840
1141412080
1222b05328
1313865126
14a965960
1570cbc95
hex4ca8790

80381840 has 80 divisors (see below), whose sum is σ = 233020800. Its totient is φ = 25052160.

The previous prime is 80381839. The next prime is 80381879. The reversal of 80381840 is 4818308.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×803818402 = 12922480403571200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80381797 and 80381806.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 365 + ... + 12684.

It is an arithmetic number, because the mean of its divisors is an integer number (2912760).

Almost surely, 280381840 is an apocalyptic number.

80381840 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 80381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116510400).

80381840 is an abundant number, since it is smaller than the sum of its proper divisors (152638960).

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

80381840 is a wasteful number, since it uses less digits than its factorization.

80381840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13080 (or 13074 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 80381840 is about 8965.5920049933. The cubic root of 80381840 is about 431.5713913118.

The spelling of 80381840 in words is "eighty million, three hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 13049 26098 52196 65245 91343 104392 130490 143539 182686 208784 260980 287078 365372 456715 521960 574156 717695 730744 913430 1004773 1043920 1148312 1435390 1461488 1826860 2009546 2296624 2870780 3653720 4019092 5023865 5741560 7307440 8038184 10047730 11483120 16076368 20095460 40190920 80381840