Search a number
-
+
683943840 = 253252112251
BaseRepresentation
bin101000110001000…
…010011110100000
31202122221221120100
4220301002132200
52400042200330
6151511142400
722643266236
oct5061023640
91678857510
10683943840
11321083148
12171074a00
13ab90a0c8
1466b98956
15400a0060
hex28c427a0

683943840 has 144 divisors (see below), whose sum is σ = 2346061536. Its totient is φ = 181440000.

The previous prime is 683943833. The next prime is 683943863. The reversal of 683943840 is 48349386.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302715 + ... + 304965.

It is an arithmetic number, because the mean of its divisors is an integer number (16292094).

Almost surely, 2683943840 is an apocalyptic number.

683943840 is a gapful number since it is divisible by the number (60) 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 683943840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173030768).

683943840 is an abundant number, since it is smaller than the sum of its proper divisors (1662117696).

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

683943840 is a wasteful number, since it uses less digits than its factorization.

683943840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 683943840 is about 26152.3199735702. The cubic root of 683943840 is about 881.0626968762.

The spelling of 683943840 in words is "six hundred eighty-three million, nine hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 211 240 288 360 422 480 633 720 844 1055 1266 1440 1688 1899 2110 2251 2532 3165 3376 3798 4220 4502 5064 6330 6752 6753 7596 8440 9004 9495 10128 11255 12660 13506 15192 16880 18008 18990 20256 20259 22510 25320 27012 30384 33760 33765 36016 37980 40518 45020 50640 54024 60768 67530 72032 75960 81036 90040 101280 101295 108048 135060 151920 162072 180080 202590 216096 270120 303840 324144 360160 405180 474961 540240 648288 810360 949922 1080480 1424883 1620720 1899844 2374805 2849766 3241440 3799688 4274649 4749610 5699532 7124415 7599376 8549298 9499220 11399064 14248830 15198752 17098596 18998440 21373245 22798128 28497660 34197192 37996880 42746490 45596256 56995320 68394384 75993760 85492980 113990640 136788768 170985960 227981280 341971920 683943840