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2130765 = 357213223
BaseRepresentation
bin1000001000001101001101
311000020212020
420020031031
51021141030
6113400353
724053100
oct10101515
94006766
102130765
11122596a
128690b9
13597b10
143d6737
152c1510
hex20834d

2130765 has 48 divisors (see below), whose sum is σ = 4290048. Its totient is φ = 895104.

The previous prime is 2130757. The next prime is 2130767. The reversal of 2130765 is 5670312.

It is not a de Polignac number, because 2130765 - 23 = 2130757 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 9444 + ... + 9666.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

22130765 is an apocalyptic number.

It is an amenable number.

2130765 is an abundant number, since it is smaller than the sum of its proper divisors (2159283).

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

2130765 is a wasteful number, since it uses less digits than its factorization.

2130765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 2130765 is about 1459.7140130861. The cubic root of 2130765 is about 128.6802368153.

The spelling of 2130765 in words is "two million, one hundred thirty thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 223 245 273 455 637 669 735 1115 1365 1561 1911 2899 3185 3345 4683 7805 8697 9555 10927 14495 20293 23415 32781 43485 54635 60879 101465 142051 163905 304395 426153 710255 2130765