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993140840 = 23524828521
BaseRepresentation
bin111011001100100…
…010000001101000
32120012202210010002
4323030202001220
54013221001330
6242314242132
733416362226
oct7314420150
92505683102
10993140840
1146a66945a
12238726348
1312a9a8103
1495c83b16
155c2c8e45
hex3b322068

993140840 has 16 divisors (see below), whose sum is σ = 2234566980. Its totient is φ = 397256320.

The previous prime is 993140821. The next prime is 993140843. The reversal of 993140840 is 48041399.

It can be written as a sum of positive squares in 2 ways, for example, as 960628036 + 32512804 = 30994^2 + 5702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 993140794 and 993140803.

It is not an unprimeable number, because it can be changed into a prime (993140843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12414221 + ... + 12414300.

Almost surely, 2993140840 is an apocalyptic number.

It is an amenable number.

993140840 is an abundant number, since it is smaller than the sum of its proper divisors (1241426140).

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

993140840 is a wasteful number, since it uses less digits than its factorization.

993140840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24828532 (or 24828528 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 993140840 is about 31514.1371450973. The cubic root of 993140840 is about 997.7083657574.

The spelling of 993140840 in words is "nine hundred ninety-three million, one hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 24828521 49657042 99314084 124142605 198628168 248285210 496570420 993140840