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252143040 = 2635262649
BaseRepresentation
bin11110000011101…
…10010111000000
3122120110012020010
433001312113000
51004022034130
641004144520
76151115622
oct1701662700
9576405203
10252143040
1111a367886
1270538140
1340312c86
14256b6c12
15172090b0
hexf0765c0

252143040 has 56 divisors (see below), whose sum is σ = 800557200. Its totient is φ = 67237888.

The previous prime is 252143029. The next prime is 252143083. The reversal of 252143040 is 40341252.

It is a super-2 number, since 2×2521430402 = 127152225240883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252142998 and 252143016.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 130365 + ... + 132284.

Almost surely, 2252143040 is an apocalyptic number.

252143040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252143040 is an abundant number, since it is smaller than the sum of its proper divisors (548414160).

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

252143040 is a wasteful number, since it uses less digits than its factorization.

252143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262669 (or 262659 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 252143040 is about 15879.0125637585. The cubic root of 252143040 is about 631.7554466948.

Adding to 252143040 its reverse (40341252), we get a palindrome (292484292).

The spelling of 252143040 in words is "two hundred fifty-two million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 262649 525298 787947 1050596 1313245 1575894 2101192 2626490 3151788 3939735 4202384 5252980 6303576 7879470 8404768 10505960 12607152 15758940 16809536 21011920 25214304 31517880 42023840 50428608 63035760 84047680 126071520 252143040