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2030433504 = 253113136143
BaseRepresentation
bin111100100000101…
…1111010011100000
312020111121201010220
41321001133103200
513124242333004
6533251123040
7101213254131
oct17101372340
95214551126
102030433504
11952143820
12487ba3480
13264871758
1415393bc88
15bd3c4dd9
hex7905f4e0

2030433504 has 96 divisors (see below), whose sum is σ = 5833949184. Its totient is φ = 613217280.

The previous prime is 2030433481. The next prime is 2030433547. The reversal of 2030433504 is 4053340302.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327457 + ... + 333599.

It is an arithmetic number, because the mean of its divisors is an integer number (60770304).

Almost surely, 22030433504 is an apocalyptic number.

2030433504 is a gapful number since it is divisible by the number (24) 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 2030433504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916974592).

2030433504 is an abundant number, since it is smaller than the sum of its proper divisors (3803515680).

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

2030433504 is a wasteful number, since it uses less digits than its factorization.

2030433504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2030433504 is about 45060.3318230126. The cubic root of 2030433504 is about 1266.2795416539.

Adding to 2030433504 its reverse (4053340302), we get a palindrome (6083773806).

It can be divided in two parts, 2030 and 433504, that added together give a palindrome (435534).

The spelling of 2030433504 in words is "two billion, thirty million, four hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 313 352 528 626 939 1056 1252 1878 2504 3443 3756 5008 6143 6886 7512 10016 10329 12286 13772 15024 18429 20658 24572 27544 30048 36858 41316 49144 55088 67573 73716 82632 98288 110176 135146 147432 165264 196576 202719 270292 294864 330528 405438 540584 589728 810876 1081168 1621752 1922759 2162336 3243504 3845518 5768277 6487008 7691036 11536554 15382072 21150349 23073108 30764144 42300698 46146216 61528288 63451047 84601396 92292432 126902094 169202792 184584864 253804188 338405584 507608376 676811168 1015216752 2030433504