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80987424 = 2537196343
BaseRepresentation
bin1001101001111…
…00010100100000
312122101120212020
410310330110200
5131213044144
612011501440
72002244640
oct464742440
9178346766
1080987424
1141796061
1223157880
1313a1796b
14aa82520
15719b419
hex4d3c520

80987424 has 96 divisors (see below), whose sum is σ = 255790080. Its totient is φ = 21917952.

The previous prime is 80987411. The next prime is 80987429. The reversal of 80987424 is 42478908.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80987429) 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 15 ways as a sum of consecutive naturals, for example, 9597 + ... + 15939.

It is an arithmetic number, because the mean of its divisors is an integer number (2664480).

Almost surely, 280987424 is an apocalyptic number.

80987424 is a gapful number since it is divisible by the number (84) 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 80987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127895040).

80987424 is an abundant number, since it is smaller than the sum of its proper divisors (174802656).

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

80987424 is a wasteful number, since it uses less digits than its factorization.

80987424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 80987424 is about 8999.3013062126. The cubic root of 80987424 is about 432.6524776733.

The spelling of 80987424 in words is "eighty million, nine hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6343 6384 12686 12768 19029 25372 38058 44401 50744 76116 88802 101488 120517 133203 152232 177604 202976 241034 266406 304464 355208 361551 482068 532812 608928 710416 723102 843619 964136 1065624 1420832 1446204 1687238 1928272 2131248 2530857 2892408 3374476 3856544 4262496 5061714 5784816 6748952 10123428 11569632 13497904 20246856 26995808 40493712 80987424