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87210253 = 132737069
BaseRepresentation
bin1010011001010…
…11100100001101
320002002201222101
411030223210031
5134311212003
612353115101
72106163204
oct514534415
9202081871
1087210253
1145256399
1225258a91
13150b6200
14b82223b
1579ca11d
hex532b90d

87210253 has 12 divisors (see below), whose sum is σ = 95741940. Its totient is φ = 79387776.

The previous prime is 87210229. The next prime is 87210287. The reversal of 87210253 is 35201278.

It can be written as a sum of positive squares in 6 ways, for example, as 15350724 + 71859529 = 3918^2 + 8477^2 .

It is a de Polignac number, because none of the positive numbers 2k-87210253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87210293) 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 11 ways as a sum of consecutive naturals, for example, 8803 + ... + 15871.

It is an arithmetic number, because the mean of its divisors is an integer number (7978495).

Almost surely, 287210253 is an apocalyptic number.

It is an amenable number.

87210253 is a deficient number, since it is larger than the sum of its proper divisors (8531687).

87210253 is a wasteful number, since it uses less digits than its factorization.

87210253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 87210253 is about 9338.6429956391. The cubic root of 87210253 is about 443.4614256032.

The spelling of 87210253 in words is "eighty-seven million, two hundred ten thousand, two hundred fifty-three".

Divisors: 1 13 73 169 949 7069 12337 91897 516037 1194661 6708481 87210253