Search a number
-
+
2755341240 = 23351910911087
BaseRepresentation
bin1010010000111011…
…0010101110111000
321010000122211121120
42210032302232320
521120331404430
61133224305240
7125165004561
oct24416625670
97100584546
102755341240
111194355723
1264a912220
1334bac2042
141c1d1b168
15111d67610
hexa43b2bb8

2755341240 has 128 divisors (see below), whose sum is σ = 8781696000. Its totient is φ = 689637888.

The previous prime is 2755341203. The next prime is 2755341257. The reversal of 2755341240 is 421435572.

2755341240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242977 + ... + 254063.

It is an arithmetic number, because the mean of its divisors is an integer number (68607000).

Almost surely, 22755341240 is an apocalyptic number.

2755341240 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 2755341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848000).

2755341240 is an abundant number, since it is smaller than the sum of its proper divisors (6026354760).

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

2755341240 is a wasteful number, since it uses less digits than its factorization.

2755341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11229 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2755341240 is about 52491.3444293438. The cubic root of 2755341240 is about 1401.9261311112.

The spelling of 2755341240 in words is "two billion, seven hundred fifty-five million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 109 114 120 152 190 218 228 285 327 380 436 456 545 570 654 760 872 1090 1140 1308 1635 2071 2180 2280 2616 3270 4142 4360 6213 6540 8284 10355 11087 12426 13080 16568 20710 22174 24852 31065 33261 41420 44348 49704 55435 62130 66522 82840 88696 110870 124260 133044 166305 210653 221740 248520 266088 332610 421306 443480 631959 665220 842612 1053265 1208483 1263918 1330440 1685224 2106530 2416966 2527836 3159795 3625449 4213060 4833932 5055672 6042415 6319590 7250898 8426120 9667864 12084830 12639180 14501796 18127245 22961177 24169660 25278360 29003592 36254490 45922354 48339320 68883531 72508980 91844708 114805885 137767062 145017960 183689416 229611770 275534124 344417655 459223540 551068248 688835310 918447080 1377670620 2755341240