Search a number
-
+
5683420800 = 273252197341
BaseRepresentation
bin1010100101100001…
…00001111010000000
3112200002100200122200
411102300201322000
543114423431200
62335543233200
7260561164641
oct52260417200
915602320580
105683420800
112457163192
121127448800
136c76148b5
143bcb616c8
15233e51800
hex152c21e80

5683420800 has 144 divisors (see below), whose sum is σ = 20279850630. Its totient is φ = 1515571200.

The previous prime is 5683420789. The next prime is 5683420817. The reversal of 5683420800 is 80243865.

It can be written as a sum of positive squares in 3 ways, for example, as 4195930176 + 1487490624 = 64776^2 + 38568^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69871 + ... + 127470.

Almost surely, 25683420800 is an apocalyptic number.

5683420800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5683420800 is an abundant number, since it is smaller than the sum of its proper divisors (14596429830).

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

5683420800 is a wasteful number, since it uses less digits than its factorization.

5683420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197371 (or 197351 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5683420800 is about 75388.4659613127. The cubic root of 5683420800 is about 1784.5823941278.

The spelling of 5683420800 in words is "five billion, six hundred eighty-three million, four hundred twenty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 197341 394682 592023 789364 986705 1184046 1578728 1776069 1973410 2368092 2960115 3157456 3552138 3946820 4736184 4933525 5920230 6314912 7104276 7893640 8880345 9472368 9867050 11840460 12629824 14208552 14800575 15787280 17760690 18944736 19734100 23680920 25259648 28417104 29601150 31574560 35521380 37889472 39468200 44401725 47361840 56834208 59202300 63149120 71042760 75778944 78936400 88803450 94723680 113668416 118404600 126298240 142085520 157872800 177606900 189447360 227336832 236809200 284171040 315745600 355213800 378894720 473618400 568342080 631491200 710427600 947236800 1136684160 1420855200 1894473600 2841710400 5683420800