Search a number
-
+
21035334240 = 2532519176481
BaseRepresentation
bin10011100101110011…
…011011101001100000
32000021222200200211100
4103211303123221200
5321040021143430
613355152114400
71343163251034
oct234563335140
960258620740
1021035334240
118a14996a58
1240b0835a00
131ca3036a4b
1410379d01c4
15831acb960
hex4e5cdba60

21035334240 has 144 divisors (see below), whose sum is σ = 72159849216. Its totient is φ = 5579980800.

The previous prime is 21035334233. The next prime is 21035334269. The reversal of 21035334240 is 4243353012.

21035334240 is a `hidden beast` number, since 2 + 103 + 533 + 4 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236800 + ... + 313280.

It is an arithmetic number, because the mean of its divisors is an integer number (501110064).

Almost surely, 221035334240 is an apocalyptic number.

21035334240 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 21035334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36079924608).

21035334240 is an abundant number, since it is smaller than the sum of its proper divisors (51124514976).

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

21035334240 is a wasteful number, since it uses less digits than its factorization.

21035334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76693 (or 76682 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 21035334240 its reverse (4243353012), we get a palindrome (25278687252).

The spelling of 21035334240 in words is "twenty-one billion, thirty-five million, three hundred thirty-four thousand, two 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 96 120 144 160 180 191 240 288 360 382 480 573 720 764 955 1146 1440 1528 1719 1910 2292 2865 3056 3438 3820 4584 5730 6112 6876 7640 8595 9168 11460 13752 15280 17190 18336 22920 27504 30560 34380 45840 55008 68760 76481 91680 137520 152962 229443 275040 305924 382405 458886 611848 688329 764810 917772 1147215 1223696 1376658 1529620 1835544 2294430 2447392 2753316 3059240 3441645 3671088 4588860 5506632 6118480 6883290 7342176 9177720 11013264 12236960 13766580 14607871 18355440 22026528 27533160 29215742 36710880 43823613 55066320 58431484 73039355 87647226 110132640 116862968 131470839 146078710 175294452 219118065 233725936 262941678 292157420 350588904 438236130 467451872 525883356 584314840 657354195 701177808 876472260 1051766712 1168629680 1314708390 1402355616 1752944520 2103533424 2337259360 2629416780 3505889040 4207066848 5258833560 7011778080 10517667120 21035334240