Search a number
-
+
5455872960 = 263512894409
BaseRepresentation
bin1010001010011001…
…00000001111000000
3112002020012001200220
411011030200033000
542133200413320
62301214143040
7252126104106
oct50514401700
915066161626
105455872960
11234a77511a
1210831b1a80
1368c4337c5
1439a84bc76
1521dea4e40
hex1453203c0

5455872960 has 112 divisors (see below), whose sum is σ = 17339767200. Its totient is φ = 1453441024.

The previous prime is 5455872937. The next prime is 5455872967. The reversal of 5455872960 is 692785545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5455872967) 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, 1235236 + ... + 1239644.

It is an arithmetic number, because the mean of its divisors is an integer number (154819350).

Almost surely, 25455872960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5455872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669883600).

5455872960 is an abundant number, since it is smaller than the sum of its proper divisors (11883894240).

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

5455872960 is a wasteful number, since it uses less digits than its factorization.

5455872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The square root of 5455872960 is about 73863.8812952582. The cubic root of 5455872960 is about 1760.4407642640.

The spelling of 5455872960 in words is "five billion, four hundred fifty-five million, eight hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1289 2578 3867 4409 5156 6445 7734 8818 10312 12890 13227 15468 17636 19335 20624 22045 25780 26454 30936 35272 38670 41248 44090 51560 52908 61872 66135 70544 77340 82496 88180 103120 105816 123744 132270 141088 154680 176360 206240 211632 247488 264540 282176 309360 352720 412480 423264 529080 618720 705440 846528 1058160 1237440 1410880 2116320 4232640 5683201 11366402 17049603 22732804 28416005 34099206 45465608 56832010 68198412 85248015 90931216 113664020 136396824 170496030 181862432 227328040 272793648 340992060 363724864 454656080 545587296 681984120 909312160 1091174592 1363968240 1818624320 2727936480 5455872960