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20462240 = 2551953127
BaseRepresentation
bin100111000001…
…1101010100000
31102111120220202
41032003222200
520214242430
62010324332
7335632451
oct116035240
942446822
1020462240
1110606647
126a296a8
134315946
142a09128
151be2d45
hex1383aa0

20462240 has 96 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 7547904.

The previous prime is 20462227. The next prime is 20462317. The reversal of 20462240 is 4226402.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161057 + ... + 161183.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 220462240 is an apocalyptic number.

20462240 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 20462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

20462240 is an abundant number, since it is smaller than the sum of its proper divisors (31792480).

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

20462240 is a wasteful number, since it uses less digits than its factorization.

20462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 20462240 is about 4523.5207526881. The cubic root of 20462240 is about 273.5170422088.

Adding to 20462240 its reverse (4226402), we get a palindrome (24688642).

It can be divided in two parts, 20462 and 240, that added together give a palindrome (20702).

The spelling of 20462240 in words is "twenty million, four hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 76 80 95 106 127 152 160 190 212 254 265 304 380 424 508 530 608 635 760 848 1007 1016 1060 1270 1520 1696 2014 2032 2120 2413 2540 3040 4028 4064 4240 4826 5035 5080 6731 8056 8480 9652 10070 10160 12065 13462 16112 19304 20140 20320 24130 26924 32224 33655 38608 40280 48260 53848 67310 77216 80560 96520 107696 127889 134620 161120 193040 215392 255778 269240 386080 511556 538480 639445 1023112 1076960 1278890 2046224 2557780 4092448 5115560 10231120 20462240