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80321024 = 29773307
BaseRepresentation
bin1001100100110…
…01101000000000
312121010201201202
410302121220000
5131030233044
611545320332
71663501040
oct462315000
9177121652
1080321024
1141380413
1222a960a8
1313843544
14a94b720
1570b8c4e
hex4c99a00

80321024 has 80 divisors (see below), whose sum is σ = 186529728. Its totient is φ = 33841152.

The previous prime is 80320997. The next prime is 80321027. The reversal of 80321024 is 42012308.

80321024 = 1132 + 1142 + ... + 6232.

It is a junction number, because it is equal to n+sod(n) for n = 80320987 and 80321005.

It is not an unprimeable number, because it can be changed into a prime (80321027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261479 + ... + 261785.

Almost surely, 280321024 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 80321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93264864).

80321024 is an abundant number, since it is smaller than the sum of its proper divisors (106208704).

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

80321024 is an equidigital number, since it uses as much as digits as its factorization.

80321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 80321024 is about 8962.1997299770. The cubic root of 80321024 is about 431.4625231571.

The spelling of 80321024 in words is "eighty million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 307 448 511 512 584 614 896 1022 1168 1228 1792 2044 2149 2336 2456 3584 4088 4298 4672 4912 8176 8596 9344 9824 16352 17192 18688 19648 22411 32704 34384 37376 39296 44822 65408 68768 78592 89644 130816 137536 156877 157184 179288 261632 275072 313754 358576 550144 627508 717152 1100288 1255016 1434304 2510032 2868608 5020064 5737216 10040128 11474432 20080256 40160512 80321024