Search a number
-
+
2770450760 = 2357114312087
BaseRepresentation
bin1010010100100001…
…1011100101001000
321011002002110222102
42211020123211020
521133213411020
61134524212532
7125440304630
oct24510334510
97132073872
102770450760
1111a1935730
1265399a148
13351c8249c
141c3d316c0
1511334e475
hexa521b948

2770450760 has 128 divisors (see below), whose sum is σ = 7793418240. Its totient is φ = 861100800.

The previous prime is 2770450757. The next prime is 2770450769. The reversal of 2770450760 is 670540772.

It is not an unprimeable number, because it can be changed into a prime (2770450769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326437 + ... + 1328523.

It is an arithmetic number, because the mean of its divisors is an integer number (60886080).

Almost surely, 22770450760 is an apocalyptic number.

2770450760 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 2770450760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896709120).

2770450760 is an abundant number, since it is smaller than the sum of its proper divisors (5022967480).

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

2770450760 is a wasteful number, since it uses less digits than its factorization.

2770450760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 2770450760 is about 52635.0715777988. The cubic root of 2770450760 is about 1404.4840512981.

The spelling of 2770450760 in words is "two billion, seven hundred seventy million, four hundred fifty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 431 440 616 770 862 1540 1724 2087 2155 3017 3080 3448 4174 4310 4741 6034 8348 8620 9482 10435 12068 14609 15085 16696 17240 18964 20870 22957 23705 24136 29218 30170 33187 37928 41740 45914 47410 58436 60340 66374 73045 83480 91828 94820 114785 116872 120680 132748 146090 160699 165935 183656 189640 229570 265496 292180 321398 331870 459140 584360 642796 663740 803495 899497 918280 1285592 1327480 1606990 1798994 3213980 3597988 4497485 6296479 6427960 7195976 8994970 9894467 12592958 17989940 19788934 25185916 31482395 35979880 39577868 49472335 50371832 62964790 69261269 79155736 98944670 125929580 138522538 197889340 251859160 277045076 346306345 395778680 554090152 692612690 1385225380 2770450760