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2057796 = 2232134397
BaseRepresentation
bin111110110011001000100
310212112202200
413312121010
51011322141
6112034500
723330256
oct7663104
93775680
102057796
111186064
12832a30
13570840
143b7cd6
152a9ab6
hex1f6644

2057796 has 36 divisors (see below), whose sum is σ = 5603052. Its totient is φ = 633024.

The previous prime is 2057791. The next prime is 2057807. The reversal of 2057796 is 6977502.

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 1440000 = 786^2 + 1200^2 .

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2057796.

It is not an unprimeable number, because it can be changed into a prime (2057791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1731 + ... + 2666.

22057796 is an apocalyptic number.

2057796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2057796 is an abundant number, since it is smaller than the sum of its proper divisors (3545256).

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

2057796 is a wasteful number, since it uses less digits than its factorization.

2057796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2057796 is about 1434.5020041812. The cubic root of 2057796 is about 127.1942384954.

It can be divided in two parts, 205 and 7796, that added together give a triangular number (8001 = T126).

The spelling of 2057796 in words is "two million, fifty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4397 8794 13191 17588 26382 39573 52764 57161 79146 114322 158292 171483 228644 342966 514449 685932 1028898 2057796