Search a number
-
+
87290064 = 2432606181
BaseRepresentation
bin1010011001111…
…11000011010000
320002020210110100
411030333003100
5134321240224
612354532400
72106644661
oct514770320
9202223410
1087290064
1145300354
1225297100
1315113634
14b843368
1579e3ac9
hex533f0d0

87290064 has 30 divisors (see below), whose sum is σ = 244291346. Its totient is φ = 29096640.

The previous prime is 87290059. The next prime is 87290069. The reversal of 87290064 is 46009278.

87290064 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (87290059) and next prime (87290069).

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 6290064 = 9000^2 + 2508^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87290069) 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 5 ways as a sum of consecutive naturals, for example, 302947 + ... + 303234.

Almost surely, 287290064 is an apocalyptic number.

It is an amenable number.

87290064 is an abundant number, since it is smaller than the sum of its proper divisors (157001282).

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

87290064 is a wasteful number, since it uses less digits than its factorization.

87290064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606195 (or 606186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87290064 is about 9342.9151767529. The cubic root of 87290064 is about 443.5966631751.

The spelling of 87290064 in words is "eighty-seven million, two hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 606181 1212362 1818543 2424724 3637086 4849448 5455629 7274172 9698896 10911258 14548344 21822516 29096688 43645032 87290064