Search a number
-
+
275104960 = 2651325087
BaseRepresentation
bin10000011001011…
…100010011000000
3201011122210001121
4100121130103000
51030411324320
643144242024
76550232164
oct2031342300
9634583047
10275104960
11131320479
1278170314
1344cc2600
1428772ca4
15192428aa
hex1065c4c0

275104960 has 84 divisors (see below), whose sum is σ = 709501248. Its totient is φ = 101557248.

The previous prime is 275104903. The next prime is 275104961. The reversal of 275104960 is 69401572.

It is not an unprimeable number, because it can be changed into a prime (275104961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51537 + ... + 56623.

Almost surely, 2275104960 is an apocalyptic number.

275104960 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 275104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354750624).

275104960 is an abundant number, since it is smaller than the sum of its proper divisors (434396288).

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

275104960 is a wasteful number, since it uses less digits than its factorization.

275104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 275104960 is about 16586.2883129409. The cubic root of 275104960 is about 650.3784462830.

The spelling of 275104960 in words is "two hundred seventy-five million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1690 2080 2704 3380 4160 5087 5408 6760 10174 10816 13520 20348 25435 27040 40696 50870 54080 66131 81392 101740 132262 162784 203480 264524 325568 330655 406960 529048 661310 813920 859703 1058096 1322620 1627840 1719406 2116192 2645240 3438812 4232384 4298515 5290480 6877624 8597030 10580960 13755248 17194060 21161920 27510496 34388120 55020992 68776240 137552480 275104960