Search a number
-
+
87020304 = 24371943317
BaseRepresentation
bin1010010111111…
…01001100010000
320001202002102020
411023331030100
5134234122204
612345051440
72104442340
oct513751420
9201662366
1087020304
1145136708
1225186b80
131504a907
14b7b2d20
15798dbd9
hex52fd310

87020304 has 160 divisors (see below), whose sum is σ = 277601280. Its totient is φ = 22934016.

The previous prime is 87020303. The next prime is 87020309. The reversal of 87020304 is 40302078.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (87020303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 274354 + ... + 274670.

It is an arithmetic number, because the mean of its divisors is an integer number (1735008).

Almost surely, 287020304 is an apocalyptic number.

87020304 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 87020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138800640).

87020304 is an abundant number, since it is smaller than the sum of its proper divisors (190580976).

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

87020304 is a wasteful number, since it uses less digits than its factorization.

87020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 87020304 is about 9328.4673982386. The cubic root of 87020304 is about 443.1392299827.

The spelling of 87020304 in words is "eighty-seven million, twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 43 48 56 57 76 84 86 112 114 129 133 152 168 172 228 258 266 301 304 317 336 344 399 456 516 532 602 634 688 798 817 903 912 951 1032 1064 1204 1268 1596 1634 1806 1902 2064 2128 2219 2408 2451 2536 3192 3268 3612 3804 4438 4816 4902 5072 5719 6023 6384 6536 6657 7224 7608 8876 9804 11438 12046 13072 13314 13631 14448 15216 17157 17752 18069 19608 22876 24092 26628 27262 34314 35504 36138 39216 40893 42161 45752 48184 53256 54524 68628 72276 81786 84322 91504 95417 96368 106512 109048 126483 137256 144552 163572 168644 190834 218096 252966 258989 274512 286251 289104 327144 337288 381668 505932 517978 572502 654288 674576 763336 776967 1011864 1035956 1145004 1526672 1553934 1812923 2023728 2071912 2290008 3107868 3625846 4143824 4580016 5438769 6215736 7251692 10877538 12431472 14503384 21755076 29006768 43510152 87020304