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5003305400 = 235261676121
BaseRepresentation
bin1001010100011100…
…00110000110111000
3110220200121020201102
410222032012012320
540221321233100
62144250110532
7234662252132
oct45216060670
913820536642
105003305400
112138265445
12b7771b448
13619748252
143566c2052
151e43aacd5
hex12a3861b8

5003305400 has 96 divisors (see below), whose sum is σ = 12001813680. Its totient is φ = 1938816000.

The previous prime is 5003305369. The next prime is 5003305403. The reversal of 5003305400 is 45033005.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003305403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814340 + ... + 820460.

Almost surely, 25003305400 is an apocalyptic number.

5003305400 is a gapful number since it is divisible by the number (50) 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 5003305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000906840).

5003305400 is an abundant number, since it is smaller than the sum of its proper divisors (6998508280).

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

5003305400 is a wasteful number, since it uses less digits than its factorization.

5003305400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6265 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 5003305400 is about 70734.0469646690. The cubic root of 5003305400 is about 1710.3526739729.

Adding to 5003305400 its reverse (45033005), we get a palindrome (5048338405).

The spelling of 5003305400 in words is "five billion, three million, three hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 67 100 122 134 200 244 268 305 335 488 536 610 670 1220 1340 1525 1675 2440 2680 3050 3350 4087 6100 6121 6700 8174 12200 12242 13400 16348 20435 24484 30605 32696 40870 48968 61210 81740 102175 122420 153025 163480 204350 244840 306050 373381 408700 410107 612100 746762 817400 820214 1224200 1493524 1640428 1866905 2050535 2987048 3280856 3733810 4101070 7467620 8202140 9334525 10252675 14935240 16404280 18669050 20505350 25016527 37338100 41010700 50033054 74676200 82021400 100066108 125082635 200132216 250165270 500330540 625413175 1000661080 1250826350 2501652700 5003305400