Search a number
-
+
2655120 = 2435132337
BaseRepresentation
bin1010001000001110010000
311222220010210
422020032100
51134430440
6132524120
731365606
oct12101620
94886123
102655120
111553916
12a80640
1371c6a0
144d1876
15376a80
hex288390

2655120 has 160 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 608256.

The previous prime is 2655113. The next prime is 2655127. The reversal of 2655120 is 215562.

It is an interprime number because it is at equal distance from previous prime (2655113) and next prime (2655127).

It is not an unprimeable number, because it can be changed into a prime (2655127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71742 + ... + 71778.

22655120 is an apocalyptic number.

2655120 is a gapful number since it is divisible by the number (20) 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 2655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

2655120 is an abundant number, since it is smaller than the sum of its proper divisors (6844272).

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

2655120 is a wasteful number, since it uses less digits than its factorization.

2655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2655120 is about 1629.4538962487. The cubic root of 2655120 is about 138.4718150017.

It can be divided in two parts, 2655 and 120, that added together give a triangular number (2775 = T74).

The spelling of 2655120 in words is "two million, six hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 37 39 40 46 48 52 60 65 69 74 78 80 92 104 111 115 120 130 138 148 156 184 185 195 208 222 230 240 260 276 296 299 312 345 368 370 390 444 460 481 520 552 555 592 598 624 690 740 780 851 888 897 920 962 1040 1104 1110 1196 1380 1443 1480 1495 1560 1702 1776 1794 1840 1924 2220 2392 2405 2553 2760 2886 2960 2990 3120 3404 3588 3848 4255 4440 4485 4784 4810 5106 5520 5772 5980 6808 7176 7215 7696 8510 8880 8970 9620 10212 11063 11544 11960 12765 13616 14352 14430 17020 17940 19240 20424 22126 23088 23920 25530 28860 33189 34040 35880 38480 40848 44252 51060 55315 57720 66378 68080 71760 88504 102120 110630 115440 132756 165945 177008 204240 221260 265512 331890 442520 531024 663780 885040 1327560 2655120