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2068136640 = 263254431621
BaseRepresentation
bin111101101000101…
…0100001011000000
312100010120020010100
41323101110023000
513213420333030
6541115202400
7102151604613
oct17321241300
95303506110
102068136640
11971455739
12498746400
1326c6129bb
1415895417a
15c1871360
hex7b4542c0

2068136640 has 168 divisors, whose sum is σ = 7133984208. Its totient is φ = 549918720.

The previous prime is 2068136639. The next prime is 2068136641. The reversal of 2068136640 is 466318602.

2068136640 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 1 + 3 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2068136639) and next prime (2068136641).

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

It is a junction number, because it is equal to n+sod(n) for n = 2068136595 and 2068136604.

It is not an unprimeable number, because it can be changed into a prime (2068136641) 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 23 ways as a sum of consecutive naturals, for example, 1275030 + ... + 1276650.

Almost surely, 22068136640 is an apocalyptic number.

2068136640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566992104).

2068136640 is an abundant number, since it is smaller than the sum of its proper divisors (5065847568).

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

2068136640 is a wasteful number, since it uses less digits than its factorization.

2068136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2068136640 is about 45476.7703338749. The cubic root of 2068136640 is about 1274.0693739552.

The spelling of 2068136640 in words is "two billion, sixty-eight million, one hundred thirty-six thousand, six hundred forty".