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212340080 = 2453185621
BaseRepresentation
bin11001010100000…
…00110101110000
3112210112222211102
430222000311300
5413324340310
633023103532
75155601201
oct1452006560
9483488742
10212340080
11a9951277
125b141ba8
1334cb8024
14202b55a8
15139958a5
hexca80d70

212340080 has 40 divisors (see below), whose sum is σ = 509622144. Its totient is φ = 82195200.

The previous prime is 212340053. The next prime is 212340091. The reversal of 212340080 is 80043212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40331 + ... + 45290.

Almost surely, 2212340080 is an apocalyptic number.

212340080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212340080 is an abundant number, since it is smaller than the sum of its proper divisors (297282064).

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

212340080 is a wasteful number, since it uses less digits than its factorization.

212340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85665 (or 85659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 212340080 is about 14571.8934939835. The cubic root of 212340080 is about 596.5918628415.

Adding to 212340080 its reverse (80043212), we get a palindrome (292383292).

The spelling of 212340080 in words is "two hundred twelve million, three hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 85621 171242 342484 428105 684968 856210 1369936 1712420 2654251 3424840 5308502 6849680 10617004 13271255 21234008 26542510 42468016 53085020 106170040 212340080