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210131424 = 253217167257
BaseRepresentation
bin11001000011001…
…01100111100000
3112122101210010100
430201211213200
5412243201144
632503502400
75131042026
oct1441454740
9478353110
10210131424
11a8682938
125a457a00
13346c3929
141dc9c716
15136ab269
hexc8659e0

210131424 has 144 divisors (see below), whose sum is σ = 638977248. Its totient is φ = 65273856.

The previous prime is 210131417. The next prime is 210131459. The reversal of 210131424 is 424131012.

210131424 is a `hidden beast` number, since 210 + 1 + 31 + 424 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 210131397 and 210131406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817504 + ... + 817760.

It is an arithmetic number, because the mean of its divisors is an integer number (4437342).

Almost surely, 2210131424 is an apocalyptic number.

210131424 is a gapful number since it is divisible by the number (24) 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 210131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319488624).

210131424 is an abundant number, since it is smaller than the sum of its proper divisors (428845824).

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

210131424 is a wasteful number, since it uses less digits than its factorization.

210131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 210131424 is about 14495.9105957508. The cubic root of 210131424 is about 594.5161652914.

Adding to 210131424 its reverse (424131012), we get a palindrome (634262436).

The spelling of 210131424 in words is "two hundred ten million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 167 204 257 272 288 306 334 408 501 514 544 612 668 771 816 1002 1028 1224 1336 1503 1542 1632 2004 2056 2313 2448 2672 2839 3006 3084 4008 4112 4369 4626 4896 5344 5678 6012 6168 8016 8224 8517 8738 9252 11356 12024 12336 13107 16032 17034 17476 18504 22712 24048 24672 25551 26214 34068 34952 37008 39321 42919 45424 48096 51102 52428 68136 69904 74016 78642 85838 90848 102204 104856 128757 136272 139808 157284 171676 204408 209712 257514 272544 314568 343352 386271 408816 419424 515028 629136 686704 729623 772542 817632 1030056 1258272 1373408 1459246 1545084 2060112 2188869 2918492 3090168 4120224 4377738 5836984 6180336 6566607 8755476 11673968 12360672 13133214 17510952 23347936 26266428 35021904 52532856 70043808 105065712 210131424