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215041680 = 24325742667
BaseRepresentation
bin11001101000101…
…00011010010000
3112222122020201200
430310110122100
5420022313210
633201031200
75220552450
oct1464243220
9488566650
10215041680
11100426aa7
1260025500
13357228c9
14207b9d60
1513d2b0c0
hexcd14690

215041680 has 120 divisors (see below), whose sum is σ = 825369792. Its totient is φ = 49151232.

The previous prime is 215041663. The next prime is 215041681. The reversal of 215041680 is 86140512.

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

It is not an unprimeable number, because it can be changed into a prime (215041681) 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 23 ways as a sum of consecutive naturals, for example, 16294 + ... + 26373.

Almost surely, 2215041680 is an apocalyptic number.

215041680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215041680 is an abundant number, since it is smaller than the sum of its proper divisors (610328112).

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

215041680 is a wasteful number, since it uses less digits than its factorization.

215041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42693 (or 42684 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 215041680 is about 14664.2995059430. The cubic root of 215041680 is about 599.1113511552. Note that the first 3 decimals are identical.

The spelling of 215041680 in words is "two hundred fifteen million, forty-one thousand, six hundred 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 42667 85334 128001 170668 213335 256002 298669 341336 384003 426670 512004 597338 640005 682672 768006 853340 896007 1024008 1194676 1280010 1493345 1536012 1706680 1792014 1920015 2048016 2389352 2560020 2688021 2986690 3072024 3413360 3584028 3840030 4480035 4778704 5120040 5376042 5973380 6144048 7168056 7680060 8960070 10240080 10752084 11946760 13440105 14336112 15360120 17920140 21504168 23893520 26880210 30720240 35840280 43008336 53760420 71680560 107520840 215041680