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254241240 = 2335111011907
BaseRepresentation
bin11110010011101…
…10100111011000
3122201101210102020
433021312213120
51010041204430
641121134440
76205005051
oct1711664730
9581353366
10254241240
11120570230
127118a420
1340899006
1425aa1728
15174c0b10
hexf2769d8

254241240 has 128 divisors (see below), whose sum is σ = 840741120. Its totient is φ = 60992000.

The previous prime is 254241217. The next prime is 254241259. The reversal of 254241240 is 42142452.

It is a happy number.

254241240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 254241240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132367 + ... + 134273.

It is an arithmetic number, because the mean of its divisors is an integer number (6568290).

Almost surely, 2254241240 is an apocalyptic number.

254241240 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 254241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420370560).

254241240 is an abundant number, since it is smaller than the sum of its proper divisors (586499880).

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

254241240 is a wasteful number, since it uses less digits than its factorization.

254241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 254241240 is about 15944.9440262423. The cubic root of 254241240 is about 633.5029856373.

Adding to 254241240 its reverse (42142452), we get a palindrome (296383692).

It can be divided in two parts, 2542412 and 40, that added together give a palindrome (2542452).

The spelling of 254241240 in words is "two hundred fifty-four million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 1907 2020 2222 2424 3030 3333 3814 4040 4444 5555 5721 6060 6666 7628 8888 9535 11110 11442 12120 13332 15256 16665 19070 20977 22220 22884 26664 28605 33330 38140 41954 44440 45768 57210 62931 66660 76280 83908 104885 114420 125862 133320 167816 192607 209770 228840 251724 314655 385214 419540 503448 577821 629310 770428 839080 963035 1155642 1258620 1540856 1926070 2118677 2311284 2517240 2889105 3852140 4237354 4622568 5778210 6356031 7704280 8474708 10593385 11556420 12712062 16949416 21186770 23112840 25424124 31780155 42373540 50848248 63560310 84747080 127120620 254241240