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21024014320 = 245899713041
BaseRepresentation
bin10011100101001000…
…001111111111110000
32000021012101120211001
4103211020033333300
5321024121424240
613354105331344
71342665113251
oct234510177760
960235346731
1021024014320
118a09565151
1240a8a96b54
131ca08a247a
1410362c4b28
15830ae289a
hex4e520fff0

21024014320 has 80 divisors (see below), whose sum is σ = 49497233760. Its totient is φ = 8303820800.

The previous prime is 21024014299. The next prime is 21024014327. The reversal of 21024014320 is 2341042012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21024014327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6912000 + ... + 6915040.

It is an arithmetic number, because the mean of its divisors is an integer number (618715422).

Almost surely, 221024014320 is an apocalyptic number.

21024014320 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 21024014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748616880).

21024014320 is an abundant number, since it is smaller than the sum of its proper divisors (28473219440).

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

21024014320 is a wasteful number, since it uses less digits than its factorization.

21024014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21024014320 its reverse (2341042012), we get a palindrome (23365056332).

The spelling of 21024014320 in words is "twenty-one billion, twenty-four million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 971 1424 1780 1942 3041 3560 3884 4855 6082 7120 7768 9710 12164 15205 15536 19420 24328 30410 38840 48656 60820 77680 86419 121640 172838 243280 270649 345676 432095 541298 691352 864190 1082596 1353245 1382704 1728380 2165192 2706490 2952811 3456760 4330384 5412980 5905622 6913520 10825960 11811244 14764055 21651920 23622488 29528110 47244976 59056220 118112440 236224880 262800179 525600358 1051200716 1314000895 2102401432 2628001790 4204802864 5256003580 10512007160 21024014320