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2077696 = 2102029
BaseRepresentation
bin111111011010000000000
310220120001201
413323100000
51012441241
6112310544
723442265
oct7732000
93816051
102077696
11119a005
12842454
1357990a
143c126c
152b0931
hex1fb400

2077696 has 22 divisors (see below), whose sum is σ = 4155410. Its totient is φ = 1038336.

The previous prime is 2077693. The next prime is 2077703. The reversal of 2077696 is 6967702.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 4096 = 1440^2 + 64^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10 + ... + 2038.

22077696 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 2077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077705).

2077696 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2077696 is an equidigital number, since it uses as much as digits as its factorization.

2077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 2077696 is about 1441.4215205831. The cubic root of 2077696 is about 127.6029362243.

The spelling of 2077696 in words is "two million, seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2029 4058 8116 16232 32464 64928 129856 259712 519424 1038848 2077696