Search a number
-
+
80016384 = 21037612
BaseRepresentation
bin1001100010011…
…11010000000000
312120120020211210
410301033100000
5130441011014
611535010120
71661061630
oct461172000
9176506753
1080016384
1141192548
1222969940
1313767996
14a8ac6c0
157058859
hex4c4f400

80016384 has 132 divisors (see below), whose sum is σ = 247801632. Its totient is φ = 22487040.

The previous prime is 80016383. The next prime is 80016389. The reversal of 80016384 is 48361008.

It is a happy number.

It is a super-3 number, since 3×800163843 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80016383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1311714 + ... + 1311774.

Almost surely, 280016384 is an apocalyptic number.

80016384 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 80016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123900816).

80016384 is an abundant number, since it is smaller than the sum of its proper divisors (167785248).

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

80016384 is an equidigital number, since it uses as much as digits as its factorization.

80016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 80016384 is about 8945.1877565538. The cubic root of 80016384 is about 430.9163512135.

The spelling of 80016384 in words is "eighty million, sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 512 672 732 768 854 896 976 1024 1281 1344 1464 1536 1708 1792 1952 2562 2688 2928 3072 3416 3584 3721 3904 5124 5376 5856 6832 7168 7442 7808 10248 10752 11163 11712 13664 14884 15616 20496 21504 22326 23424 26047 27328 29768 31232 40992 44652 46848 52094 54656 59536 62464 78141 81984 89304 93696 104188 109312 119072 156282 163968 178608 187392 208376 218624 238144 312564 327936 357216 416752 437248 476288 625128 655872 714432 833504 952576 1250256 1311744 1428864 1667008 1905152 2500512 2857728 3334016 3810304 5001024 5715456 6668032 10002048 11430912 13336064 20004096 26672128 40008192 80016384