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211532040 = 23335195863
BaseRepresentation
bin11001001101110…
…11100100001000
3112202000221102000
430212323210020
5413123011130
632553511000
75145664326
oct1446734410
9482027360
10211532040
11a944a175
125aa12460
1334a942b5
1420144d16
1513886260
hexc9bb908

211532040 has 64 divisors (see below), whose sum is σ = 705110400. Its totient is φ = 56408256.

The previous prime is 211532039. The next prime is 211532107. The reversal of 211532040 is 40235112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96852 + ... + 99011.

It is an arithmetic number, because the mean of its divisors is an integer number (11017350).

Almost surely, 2211532040 is an apocalyptic number.

211532040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211532040 is an abundant number, since it is smaller than the sum of its proper divisors (493578360).

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

211532040 is a wasteful number, since it uses less digits than its factorization.

211532040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195883 (or 195873 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 211532040 is about 14544.1410884246. The cubic root of 211532040 is about 595.8341429996.

Adding to 211532040 its reverse (40235112), we get a palindrome (251767152).

The spelling of 211532040 in words is "two hundred eleven million, five hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 195863 391726 587589 783452 979315 1175178 1566904 1762767 1958630 2350356 2937945 3525534 3917260 4700712 5288301 5875890 7051068 7834520 8813835 10576602 11751780 14102136 17627670 21153204 23503560 26441505 35255340 42306408 52883010 70510680 105766020 211532040