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96324640 = 255602029
BaseRepresentation
bin1011011110111…
…00110000100000
320201020210120021
411233130300200
5144124342030
613320323224
72246513566
oct557346040
9221223507
1096324640
114a411145
1228313514
1316c57939
14cb15a36
1586ca97a
hex5bdcc20

96324640 has 24 divisors (see below), whose sum is σ = 227567340. Its totient is φ = 38529792.

The previous prime is 96324619. The next prime is 96324647. The reversal of 96324640 is 4642369.

It can be written as a sum of positive squares in 2 ways, for example, as 83393424 + 12931216 = 9132^2 + 3596^2 .

It is a super-2 number, since 2×963246402 = 18556872542259200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 96324596 and 96324605.

It is not an unprimeable number, because it can be changed into a prime (96324647) 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 3 ways as a sum of consecutive naturals, for example, 300855 + ... + 301174.

Almost surely, 296324640 is an apocalyptic number.

It is an amenable number.

96324640 is an abundant number, since it is smaller than the sum of its proper divisors (131242700).

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

96324640 is a wasteful number, since it uses less digits than its factorization.

96324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602044 (or 602036 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 96324640 is about 9814.5117046137. The cubic root of 96324640 is about 458.4012552416.

The spelling of 96324640 in words is "ninety-six million, three hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 602029 1204058 2408116 3010145 4816232 6020290 9632464 12040580 19264928 24081160 48162320 96324640