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2130768 = 243214797
BaseRepresentation
bin1000001000001101010000
311000020212100
420020031100
51021141033
6113400400
724053103
oct10101520
94006770
102130768
111225972
12869100
13597b13
143d673a
152c1513
hex208350

2130768 has 30 divisors (see below), whose sum is σ = 5963594. Its totient is φ = 710208.

The previous prime is 2130767. The next prime is 2130769. The reversal of 2130768 is 8670312.

It is an interprime number because it is at equal distance from previous prime (2130767) and next prime (2130769).

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 419904 = 1308^2 + 648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7255 + ... + 7542.

22130768 is an apocalyptic number.

It is an amenable number.

2130768 is an abundant number, since it is smaller than the sum of its proper divisors (3832826).

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

2130768 is a wasteful number, since it uses less digits than its factorization.

2130768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14811 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2130768 is about 1459.7150406843. The cubic root of 2130768 is about 128.6802972068.

The spelling of 2130768 in words is "two million, one hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14797 29594 44391 59188 88782 118376 133173 177564 236752 266346 355128 532692 710256 1065384 2130768