Search a number
-
+
2756740230 = 23551766733
BaseRepresentation
bin1010010001010000…
…1000010010000110
321010010021220200000
42210110020102012
521121211141410
61133314302130
7125212622346
oct24424102206
97103256600
102756740230
111195120812
1264b287946
1334c191a4a
141c21a2d26
15112041dc0
hexa4508486

2756740230 has 96 divisors (see below), whose sum is σ = 7870341024. Its totient is φ = 691877376.

The previous prime is 2756740223. The next prime is 2756740297. The reversal of 2756740230 is 320476572.

It is a happy number.

2756740230 is a `hidden beast` number, since 27 + 567 + 40 + 2 + 30 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7944 + ... + 74676.

It is an arithmetic number, because the mean of its divisors is an integer number (81982719).

Almost surely, 22756740230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2756740230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935170512).

2756740230 is an abundant number, since it is smaller than the sum of its proper divisors (5113600794).

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

2756740230 is a wasteful number, since it uses less digits than its factorization.

2756740230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66772 (or 66760 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2756740230 is about 52504.6686495592. The cubic root of 2756740230 is about 1402.1633611095.

The spelling of 2756740230 in words is "two billion, seven hundred fifty-six million, seven hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 765 810 918 1215 1377 1530 2295 2430 2754 4131 4590 6885 8262 13770 20655 41310 66733 133466 200199 333665 400398 600597 667330 1000995 1134461 1201194 1801791 2001990 2268922 3002985 3403383 3603582 5405373 5672305 6005970 6806766 9008955 10210149 10810746 11344610 16216119 17016915 18017910 20420298 27026865 30630447 32432238 34033830 51050745 54053730 61260894 81080595 91891341 102101490 153152235 162161190 183782682 275674023 306304470 459456705 551348046 918913410 1378370115 2756740230