Search a number
-
+
87020032 = 291115451
BaseRepresentation
bin1010010111111…
…01001000000000
320001202002001011
411023331020000
5134234120112
612345050304
72104441501
oct513751000
9201662034
1087020032
1145136490
1225186994
131504a758
14b7b2ba8
15798daa7
hex52fd200

87020032 has 40 divisors (see below), whose sum is σ = 189688752. Its totient is φ = 39552000.

The previous prime is 87020029. The next prime is 87020047. The reversal of 87020032 is 23002078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 87019985 and 87020012.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2094 + ... + 13357.

Almost surely, 287020032 is an apocalyptic number.

It is an amenable number.

87020032 is an abundant number, since it is smaller than the sum of its proper divisors (102668720).

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

87020032 is a wasteful number, since it uses less digits than its factorization.

87020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15480 (or 15464 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 87020032 is about 9328.4528191978. The cubic root of 87020032 is about 443.1387682744.

It can be divided in two parts, 870 and 20032, that added together give a palindrome (20902).

The spelling of 87020032 in words is "eighty-seven million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 15451 30902 61804 123608 169961 247216 339922 494432 679844 988864 1359688 1977728 2719376 3955456 5438752 7910912 10877504 21755008 43510016 87020032