Search a number
-
+
2555807540 = 22511131752567
BaseRepresentation
bin1001100001010110…
…1000011100110100
320121010012110211112
42120111220130310
520213241320130
61101335454152
7120223001636
oct23025503464
96533173745
102555807540
1110a1761040
125b3b27358
1331966c070
141a361aa56
15ee5a1495
hex98568734

2555807540 has 96 divisors (see below), whose sum is σ = 6676556544. Its totient is φ = 807413760.

The previous prime is 2555807539. The next prime is 2555807543. The reversal of 2555807540 is 457085552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555807543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22337 + ... + 74903.

It is an arithmetic number, because the mean of its divisors is an integer number (69547464).

Almost surely, 22555807540 is an apocalyptic number.

2555807540 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 2555807540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338278272).

2555807540 is an abundant number, since it is smaller than the sum of its proper divisors (4120749004).

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

2555807540 is a wasteful number, since it uses less digits than its factorization.

2555807540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52617 (or 52615 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 41.

The square root of 2555807540 is about 50554.9952032438. The cubic root of 2555807540 is about 1367.2335778795.

The spelling of 2555807540 in words is "two billion, five hundred fifty-five million, eight hundred seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 286 340 374 442 572 715 748 884 935 1105 1430 1870 2210 2431 2860 3740 4420 4862 9724 12155 24310 48620 52567 105134 210268 262835 525670 578237 683371 893639 1051340 1156474 1366742 1787278 2312948 2733484 2891185 3416855 3574556 4468195 5782370 6833710 7517081 8936390 9830029 11564740 11617307 13667420 15034162 17872780 19660058 23234614 30068324 37585405 39320116 46469228 49150145 58086535 75170810 98300290 116173070 127790377 150341620 196600580 232346140 255580754 511161508 638951885 1277903770 2555807540