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215260680 = 23352323391
BaseRepresentation
bin11001101010010…
…01111000001000
3120000001101010210
430311021320020
5420101320210
633205441120
75222454105
oct1465117010
9500041123
10215260680
11100566598
12601101a0
133579b4ab
1420835aac
1513d70e20
hexcd49e08

215260680 has 96 divisors (see below), whose sum is σ = 675279360. Its totient is φ = 54890880.

The previous prime is 215260673. The next prime is 215260697. The reversal of 215260680 is 86062512.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 61785 + ... + 65175.

It is an arithmetic number, because the mean of its divisors is an integer number (7034160).

Almost surely, 2215260680 is an apocalyptic number.

215260680 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 215260680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337639680).

215260680 is an abundant number, since it is smaller than the sum of its proper divisors (460018680).

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

215260680 is a wasteful number, since it uses less digits than its factorization.

215260680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 215260680 is about 14671.7647200328. The cubic root of 215260680 is about 599.3146619287.

The spelling of 215260680 in words is "two hundred fifteen million, two hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 3391 4232 5290 6348 6782 7935 10173 10580 12696 13564 15870 16955 20346 21160 27128 31740 33910 40692 50865 63480 67820 77993 81384 101730 135640 155986 203460 233979 311972 389965 406920 467958 623944 779930 935916 1169895 1559860 1793839 1871832 2339790 3119720 3587678 4679580 5381517 7175356 8969195 9359160 10763034 14350712 17938390 21526068 26907585 35876780 43052136 53815170 71753560 107630340 215260680