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2920788 = 223213792
BaseRepresentation
bin1011001001000101010100
312111101120100
423021011110
51221431123
6142334100
733553263
oct13110524
95441510
102920788
111715482
12b8a330
137b35a0
145605da
153ca643
hex2c9154

2920788 has 54 divisors (see below), whose sum is σ = 8052954. Its totient is φ = 887328.

The previous prime is 2920783. The next prime is 2920811. The reversal of 2920788 is 8870292.

It can be written as a sum of positive squares in only one way, i.e., 2022084 + 898704 = 1422^2 + 948^2 .

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

It is a d-powerful number, because it can be written as 22 + 9 + 24 + 0 + 77 + 82 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920783) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36933 + ... + 37011.

22920788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2920788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026477).

2920788 is an abundant number, since it is smaller than the sum of its proper divisors (5132166).

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

2920788 is a wasteful number, since it uses less digits than its factorization.

2920788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2920788 is about 1709.0313045699. The cubic root of 2920788 is about 142.9442461185.

The spelling of 2920788 in words is "two million, nine hundred twenty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1422 2054 2844 3081 4108 6162 6241 9243 12324 12482 18486 18723 24964 36972 37446 56169 74892 81133 112338 162266 224676 243399 324532 486798 730197 973596 1460394 2920788