Search a number
-
+
87300992 = 27739343
BaseRepresentation
bin1010011010000…
…01101110000000
320002021100110002
411031001232000
5134322112432
612355055132
72110021562
oct515015600
9202240402
1087300992
1145308589
12252a14a8
13151185bc
14b847332
1579e6e62
hex5341b80

87300992 has 32 divisors (see below), whose sum is σ = 176321280. Its totient is φ = 43047936.

The previous prime is 87300973. The next prime is 87301073. The reversal of 87300992 is 29900378.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4673 + ... + 14015.

It is an arithmetic number, because the mean of its divisors is an integer number (5510040).

Almost surely, 287300992 is an apocalyptic number.

It is a pronic number, being equal to 9343×9344.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87300992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88160640).

87300992 is an abundant number, since it is smaller than the sum of its proper divisors (89020288).

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

87300992 is an equidigital number, since it uses as much as digits as its factorization.

87300992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 87300992 is about 9343.4999866217. The cubic root of 87300992 is about 443.6151739572.

The spelling of 87300992 in words is "eighty-seven million, three hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9343 9344 18686 37372 74744 149488 298976 597952 682039 1195904 1364078 2728156 5456312 10912624 21825248 43650496 87300992