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252740124 = 2232713179431
BaseRepresentation
bin11110001000010…
…00001000011100
3122121120112021100
433010020020130
51004200140444
641025033100
76156153450
oct1704101034
9577515240
10252740124
1111a73543a
1270785790
1340491990
14257d0660
15172c5e69
hexf10821c

252740124 has 144 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 66130560.

The previous prime is 252740119. The next prime is 252740143. The reversal of 252740124 is 421047252.

252740124 is a `hidden beast` number, since 252 + 7 + 401 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586189 + ... + 586619.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2252740124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252740124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

252740124 is an abundant number, since it is smaller than the sum of its proper divisors (539789796).

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

252740124 is a wasteful number, since it uses less digits than its factorization.

252740124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 252740124 is about 15897.8024896525. The cubic root of 252740124 is about 632.2537269703.

Adding to 252740124 its reverse (421047252), we get a palindrome (673787376).

The spelling of 252740124 in words is "two hundred fifty-two million, seven hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 179 182 234 252 273 358 364 431 468 537 546 716 819 862 1074 1092 1253 1293 1611 1638 1724 2148 2327 2506 2586 3017 3222 3276 3759 3879 4654 5012 5172 5603 6034 6444 6981 7518 7758 9051 9308 11206 11277 12068 13962 15036 15516 16289 16809 18102 20943 22412 22554 27153 27924 32578 33618 36204 39221 41886 45108 48867 50427 54306 65156 67236 77149 78442 83772 97734 100854 108612 117663 146601 154298 156884 195468 201708 231447 235326 293202 308596 352989 462894 470652 540043 586404 694341 705978 925788 1002937 1080086 1388682 1411956 1620129 2005874 2160172 2777364 3008811 3240258 4011748 4860387 6017622 6480516 7020559 9026433 9720774 12035244 14041118 18052866 19441548 21061677 28082236 36105732 42123354 63185031 84246708 126370062 252740124