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87307460 = 22512373529
BaseRepresentation
bin1010011010000…
…11010011000100
320002021200022122
411031003103010
5134322314320
612355145112
72110046462
oct515032304
9202250278
1087307460
1145312429
12252a5198
131511b526
14b849832
1579e8d25
hex53434c4

87307460 has 24 divisors (see below), whose sum is σ = 183545880. Its totient is φ = 34884864.

The previous prime is 87307453. The next prime is 87307463. The reversal of 87307460 is 6470378.

It can be written as a sum of positive squares in 4 ways, for example, as 4096576 + 83210884 = 2024^2 + 9122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87307460.

It is not an unprimeable number, because it can be changed into a prime (87307463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22976 + ... + 26504.

It is an arithmetic number, because the mean of its divisors is an integer number (7647745).

Almost surely, 287307460 is an apocalyptic number.

It is an amenable number.

87307460 is an abundant number, since it is smaller than the sum of its proper divisors (96238420).

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

87307460 is a wasteful number, since it uses less digits than its factorization.

87307460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 87307460 is about 9343.8461031847. The cubic root of 87307460 is about 443.6261292817.

The spelling of 87307460 in words is "eighty-seven million, three hundred seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1237 2474 3529 4948 6185 7058 12370 14116 17645 24740 35290 70580 4365373 8730746 17461492 21826865 43653730 87307460