[go: up one dir, main page]

Search a number
-
+
108028160 = 285372281
BaseRepresentation
bin1100111000001…
…10000100000000
321112021101202222
412130012010000
5210123400120
614415230212
72451136622
oct634060400
9245241688
10108028160
1155a85179
1230218368
13194c49b6
14104c0c12
15973d525
hex6706100

108028160 has 72 divisors (see below), whose sum is σ = 265871256. Its totient is φ = 42024960.

The previous prime is 108028157. The next prime is 108028201. The reversal of 108028160 is 61820801.

It can be written as a sum of positive squares in 4 ways, for example, as 34480384 + 73547776 = 5872^2 + 8576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46220 + ... + 48500.

Almost surely, 2108028160 is an apocalyptic number.

108028160 is a gapful number since it is divisible by the number (10) 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 108028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935628).

108028160 is an abundant number, since it is smaller than the sum of its proper divisors (157843096).

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

108028160 is an equidigital number, since it uses as much as digits as its factorization.

108028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 108028160 is about 10393.6596057404. The cubic root of 108028160 is about 476.2617020062.

Adding to 108028160 its reverse (61820801), we get a palindrome (169848961).

It can be divided in two parts, 10 and 8028160, that multiplied together give a square (80281600 = 89602).

The spelling of 108028160 in words is "one hundred eight million, twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2281 2368 2960 4562 4736 5920 9124 9472 11405 11840 18248 22810 23680 36496 45620 47360 72992 84397 91240 145984 168794 182480 291968 337588 364960 421985 583936 675176 729920 843970 1350352 1459840 1687940 2700704 2919680 3375880 5401408 6751760 10802816 13503520 21605632 27007040 54014080 108028160