Search a number
-
+
215344080 = 24325742727
BaseRepresentation
bin11001101010111…
…10001111010000
3120000012121112200
430311132033100
5420112002310
633211323200
75223252210
oct1465361720
9500177480
10215344080
11100613216
1260150500
13357ca443
1420858240
1513d8a9c0
hexcd5e3d0

215344080 has 120 divisors (see below), whose sum is σ = 826530432. Its totient is φ = 49220352.

The previous prime is 215344079. The next prime is 215344093. The reversal of 215344080 is 80443512.

215344080 is a `hidden beast` number, since 215 + 3 + 440 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16324 + ... + 26403.

Almost surely, 2215344080 is an apocalyptic number.

215344080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215344080 is an abundant number, since it is smaller than the sum of its proper divisors (611186352).

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

215344080 is a wasteful number, since it uses less digits than its factorization.

215344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42753 (or 42744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 215344080 is about 14674.6066386803. The cubic root of 215344080 is about 599.3920508711.

Adding to 215344080 its reverse (80443512), we get a palindrome (295787592).

The spelling of 215344080 in words is "two hundred fifteen million, three hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 42727 85454 128181 170908 213635 256362 299089 341816 384543 427270 512724 598178 640905 683632 769086 854540 897267 1025448 1196356 1281810 1495445 1538172 1709080 1794534 1922715 2050896 2392712 2563620 2691801 2990890 3076344 3418160 3589068 3845430 4486335 4785424 5127240 5383602 5981780 6152688 7178136 7690860 8972670 10254480 10767204 11963560 13459005 14356272 15381720 17945340 21534408 23927120 26918010 30763440 35890680 43068816 53836020 71781360 107672040 215344080