Search a number
-
+
21120600640 = 265198813943
BaseRepresentation
bin10011101010111000…
…101100101001000000
32000111221010200100011
4103222320230221000
5321223333210030
613411435434304
71345250100106
oct235270545100
960457120304
1021120600640
118a59034957
1241152b5994
131cb78bc239
141045067c76
15839320b2a
hex4eae2ca40

21120600640 has 112 divisors (see below), whose sum is σ = 53013985920. Its totient is φ = 7992483840.

The previous prime is 21120600593. The next prime is 21120600649. The reversal of 21120600640 is 4600602112.

It is not an unprimeable number, because it can be changed into a prime (21120600649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5354509 + ... + 5358451.

It is an arithmetic number, because the mean of its divisors is an integer number (473339160).

Almost surely, 221120600640 is an apocalyptic number.

21120600640 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 21120600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26506992960).

21120600640 is an abundant number, since it is smaller than the sum of its proper divisors (31893385280).

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

21120600640 is a wasteful number, since it uses less digits than its factorization.

21120600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 21120600640 in words is "twenty-one billion, one hundred twenty million, six hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 881 1216 1520 1762 3040 3524 3943 4405 6080 7048 7886 8810 14096 15772 16739 17620 19715 28192 31544 33478 35240 39430 56384 63088 66956 70480 74917 78860 83695 126176 133912 140960 149834 157720 167390 252352 267824 281920 299668 315440 334780 374585 535648 599336 630880 669560 749170 1071296 1198672 1261760 1339120 1498340 2397344 2678240 2996680 3473783 4794688 5356480 5993360 6947566 11986720 13895132 17368915 23973440 27790264 34737830 55580528 66001877 69475660 111161056 132003754 138951320 222322112 264007508 277902640 330009385 528015016 555805280 660018770 1056030032 1111610560 1320037540 2112060064 2640075080 4224120128 5280150160 10560300320 21120600640