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2000772 = 2232149373
BaseRepresentation
bin111101000011110000100
310202122112200
413220132010
51003011042
6110514500
723002104
oct7503604
93678480
102000772
111147234
12805a30
135508b7
143a1204
15297c4c
hex1e8784

2000772 has 36 divisors (see below), whose sum is σ = 5105100. Its totient is φ = 660672.

The previous prime is 2000767. The next prime is 2000807. The reversal of 2000772 is 2770002.

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 1382976 = 786^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5178 + ... + 5550.

22000772 is an apocalyptic number.

It is an amenable number.

2000772 is an abundant number, since it is smaller than the sum of its proper divisors (3104328).

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

2000772 is a wasteful number, since it uses less digits than its factorization.

2000772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 2000772 is about 1414.4864792567. The cubic root of 2000772 is about 126.0083138883.

Adding to 2000772 its reverse (2770002), we get a palindrome (4770774).

It can be divided in two parts, 2000 and 772, that added together give a palindrome (2772).

The spelling of 2000772 in words is "two million, seven hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 149 298 373 447 596 746 894 1119 1341 1492 1788 2238 2682 3357 4476 5364 6714 13428 55577 111154 166731 222308 333462 500193 666924 1000386 2000772