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2077668 = 223257713
BaseRepresentation
bin111111011001111100100
310220120000200
413323033210
51012441133
6112310500
723442225
oct7731744
93816020
102077668
111199a8a
12842430
135798b8
143c124c
152b0913
hex1fb3e4

2077668 has 18 divisors (see below), whose sum is σ = 5251974. Its totient is φ = 692544.

The previous prime is 2077667. The next prime is 2077681. The reversal of 2077668 is 8667702.

It can be written as a sum of positive squares in only one way, i.e., 1617984 + 459684 = 1272^2 + 678^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 57713 = 2077668 / (2 + 0 + 7 + 7 + 6 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (2077667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28821 + ... + 28892.

22077668 is an apocalyptic number.

It is an amenable number.

2077668 is an abundant number, since it is smaller than the sum of its proper divisors (3174306).

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

2077668 is a wasteful number, since it uses less digits than its factorization.

2077668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57723 (or 57718 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2077668 is about 1441.4118079161. The cubic root of 2077668 is about 127.6023630095.

It can be divided in two parts, 207 and 7668, that added together give a triangular number (7875 = T125).

The spelling of 2077668 in words is "two million, seventy-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 57713 115426 173139 230852 346278 519417 692556 1038834 2077668