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20303240 = 2355361157
BaseRepresentation
bin100110101110…
…0110110001000
31102012111210212
41031130312020
520144200430
62003100252
7334401056
oct115346610
942174725
1020303240
1110508141
126971688
13428b469
1429a71d6
151bb0b95
hex135cd88

20303240 has 64 divisors (see below), whose sum is σ = 47608560. Its totient is φ = 7787520.

The previous prime is 20303203. The next prime is 20303249. The reversal of 20303240 is 4230302.

20303240 = T191 + T192 + ... + T504.

It can be written as a sum of positive squares in 8 ways, for example, as 3378244 + 16924996 = 1838^2 + 4114^2 .

It is not an unprimeable number, because it can be changed into a prime (20303249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129242 + ... + 129398.

Almost surely, 220303240 is an apocalyptic number.

20303240 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 20303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23804280).

20303240 is an abundant number, since it is smaller than the sum of its proper divisors (27305320).

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

20303240 is a wasteful number, since it uses less digits than its factorization.

20303240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 20303240 is about 4505.9116724587. The cubic root of 20303240 is about 272.8067527274.

Adding to 20303240 its reverse (4230302), we get a palindrome (24533542).

The spelling of 20303240 in words is "twenty million, three hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 157 212 244 265 305 314 424 488 530 610 628 785 1060 1220 1256 1570 2120 2440 3140 3233 6280 6466 8321 9577 12932 16165 16642 19154 25864 32330 33284 38308 41605 47885 64660 66568 76616 83210 95770 129320 166420 191540 332840 383080 507581 1015162 2030324 2537905 4060648 5075810 10151620 20303240