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20303640 = 23325721151
BaseRepresentation
bin100110101110…
…0111100011000
31102012112100200
41031130330120
520144204030
62003102200
7334402200
oct115347430
942175320
1020303640
1110508475
126971960
13428b6b6
1429a7400
151bb0d60
hex135cf18

20303640 has 144 divisors (see below), whose sum is σ = 76826880. Its totient is φ = 4636800.

The previous prime is 20303629. The next prime is 20303663. The reversal of 20303640 is 4630302.

20303640 is a `hidden beast` number, since 20 + 3 + 0 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 17065 + ... + 18215.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 220303640 is an apocalyptic number.

20303640 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 20303640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38413440).

20303640 is an abundant number, since it is smaller than the sum of its proper divisors (56523240).

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

20303640 is a wasteful number, since it uses less digits than its factorization.

20303640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20303640 is about 4505.9560583743. The cubic root of 20303640 is about 272.8085442639.

Adding to 20303640 its reverse (4630302), we get a palindrome (24933942).

The spelling of 20303640 in words is "twenty million, three hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1151 1176 1260 1470 1764 1960 2205 2302 2520 2940 3453 3528 4410 4604 5755 5880 6906 8057 8820 9208 10359 11510 13812 16114 17265 17640 20718 23020 24171 27624 32228 34530 40285 41436 46040 48342 51795 56399 64456 69060 72513 80570 82872 96684 103590 112798 120855 138120 145026 161140 169197 193368 207180 225596 241710 281995 290052 322280 338394 362565 414360 451192 483420 507591 563990 580104 676788 725130 845985 966840 1015182 1127980 1353576 1450260 1691970 2030364 2255960 2537955 2900520 3383940 4060728 5075910 6767880 10151820 20303640