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215059680 = 253251113577
BaseRepresentation
bin11001101000110…
…00110011100000
3112222200011102100
430310120303200
5420023402210
633201250400
75220656103
oct1464306340
9488604370
10215059680
11100439580
1260033a00
133572ab64
14207c273a
1513d315c0
hexcd18ce0

215059680 has 144 divisors (see below), whose sum is σ = 800667504. Its totient is φ = 52131840.

The previous prime is 215059657. The next prime is 215059681. The reversal of 215059680 is 86950512.

It is a happy number.

215059680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215059681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9052 + ... + 22628.

It is an arithmetic number, because the mean of its divisors is an integer number (5560191).

Almost surely, 2215059680 is an apocalyptic number.

215059680 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 215059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400333752).

215059680 is an abundant number, since it is smaller than the sum of its proper divisors (585607824).

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

215059680 is a wasteful number, since it uses less digits than its factorization.

215059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13609 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 215059680 is about 14664.9132285193. The cubic root of 215059680 is about 599.1280668347.

The spelling of 215059680 in words is "two hundred fifteen million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 13577 15840 27154 40731 54308 67885 81462 108616 122193 135770 149347 162924 203655 217232 244386 271540 298694 325848 407310 434464 448041 488772 543080 597388 610965 651696 746735 814620 896082 977544 1086160 1194776 1221930 1303392 1344123 1493470 1629240 1792164 1955088 2172320 2240205 2389552 2443860 2688246 2986940 3258480 3584328 3910176 4480410 4779104 4887720 5376492 5973880 6516960 6720615 7168656 8960820 9775440 10752984 11947760 13441230 14337312 17921640 19550880 21505968 23895520 26882460 35843280 43011936 53764920 71686560 107529840 215059680