Search a number
-
+
2051060352 = 2731134013
BaseRepresentation
bin111101001000000…
…1011001010000000
312021221102122212020
41322100023022000
513200032412402
6535305201440
7101553503535
oct17220131200
95257378766
102051060352
11962852000
12492a90280
13268c142a3
1415658ad8c
15c00eb8bc
hex7a40b280

2051060352 has 128 divisors (see below), whose sum is σ = 5994025920. Its totient is φ = 621378560.

The previous prime is 2051060339. The next prime is 2051060359. The reversal of 2051060352 is 2530601502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2051060359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509098 + ... + 513110.

Almost surely, 22051060352 is an apocalyptic number.

2051060352 is a gapful number since it is divisible by the number (22) 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 2051060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997012960).

2051060352 is an abundant number, since it is smaller than the sum of its proper divisors (3942965568).

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

2051060352 is an equidigital number, since it uses as much as digits as its factorization.

2051060352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2051060352 is about 45288.6338058458. The cubic root of 2051060352 is about 1270.5530796212.

Adding to 2051060352 its reverse (2530601502), we get a palindrome (4581661854).

The spelling of 2051060352 in words is "two billion, fifty-one million, sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1331 1408 1452 1936 2112 2662 2904 3872 3993 4013 4224 5324 5808 7744 7986 8026 10648 11616 12039 15488 15972 16052 21296 23232 24078 31944 32104 42592 44143 46464 48156 63888 64208 85184 88286 96312 127776 128416 132429 170368 176572 192624 255552 256832 264858 353144 385248 485573 511104 513664 529716 706288 770496 971146 1059432 1412576 1456719 1540992 1942292 2118864 2825152 2913438 3884584 4237728 5341303 5650304 5826876 7769168 8475456 10682606 11653752 15538336 16023909 16950912 21365212 23307504 31076672 32047818 42730424 46615008 62153344 64095636 85460848 93230016 128191272 170921696 186460032 256382544 341843392 512765088 683686784 1025530176 2051060352