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5677140 = 2235721931
BaseRepresentation
bin10101101010000001010100
3101200102120110
4111222001110
52423132030
6321403020
766153300
oct25520124
911612513
105677140
113228357
121a99470
13123a071
14a7ad00
157721b0
hex56a054

5677140 has 72 divisors (see below), whose sum is σ = 18500832. Its totient is φ = 1296960.

The previous prime is 5677129. The next prime is 5677163. The reversal of 5677140 is 417765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5677098 and 5677107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1975 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (256956).

Almost surely, 25677140 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 5677140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250416).

5677140 is an abundant number, since it is smaller than the sum of its proper divisors (12823692).

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

5677140 is a wasteful number, since it uses less digits than its factorization.

5677140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 5677140 is about 2382.6749673424. The cubic root of 5677140 is about 178.3924765741.

The spelling of 5677140 in words is "five million, six hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1931 2940 3862 5793 7724 9655 11586 13517 19310 23172 27034 28965 38620 40551 54068 57930 67585 81102 94619 115860 135170 162204 189238 202755 270340 283857 378476 405510 473095 567714 811020 946190 1135428 1419285 1892380 2838570 5677140