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3087120 = 243519677
BaseRepresentation
bin1011110001101100010000
312210211201210
423301230100
51242241440
6150100120
735145231
oct13615420
95724653
103087120
111819443
12104a640
138411ca
145a5088
1540ea80
hex2f1b10

3087120 has 80 divisors (see below), whose sum is σ = 10088640. Its totient is φ = 778752.

The previous prime is 3087113. The next prime is 3087167. The reversal of 3087120 is 217803.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4222 + ... + 4898.

It is an arithmetic number, because the mean of its divisors is an integer number (126108).

Almost surely, 23087120 is an apocalyptic number.

3087120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044320).

3087120 is an abundant number, since it is smaller than the sum of its proper divisors (7001520).

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

3087120 is a wasteful number, since it uses less digits than its factorization.

3087120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3087120 is about 1757.0202047785. The cubic root of 3087120 is about 145.6077542865.

The spelling of 3087120 in words is "three million, eighty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 677 760 912 1140 1354 1520 2031 2280 2708 3385 4062 4560 5416 6770 8124 10155 10832 12863 13540 16248 20310 25726 27080 32496 38589 40620 51452 54160 64315 77178 81240 102904 128630 154356 162480 192945 205808 257260 308712 385890 514520 617424 771780 1029040 1543560 3087120