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3077120 = 2105601
BaseRepresentation
bin1011101111010000000000
312210100000102
423233100000
51241431440
6145541532
735104124
oct13572000
95710012
103077120
111811982
1210448a8
138397a7
145a1584
1540bb15
hex2ef400

3077120 has 44 divisors (see below), whose sum is σ = 7393764. Its totient is φ = 1228800.

The previous prime is 3077111. The next prime is 3077143. The reversal of 3077120 is 217703.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 1183744 = 1376^2 + 1088^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3077092 and 3077101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4820 + ... + 5420.

Almost surely, 23077120 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 3077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696882).

3077120 is an abundant number, since it is smaller than the sum of its proper divisors (4316644).

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

3077120 is an equidigital number, since it uses as much as digits as its factorization.

3077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 3077120 is about 1754.1721694292. The cubic root of 3077120 is about 145.4503635161.

The spelling of 3077120 in words is "three million, seventy-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 601 640 1024 1202 1280 2404 2560 3005 4808 5120 6010 9616 12020 19232 24040 38464 48080 76928 96160 153856 192320 307712 384640 615424 769280 1538560 3077120