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20240469360 = 24325101327751
BaseRepresentation
bin10010110110011011…
…010000110101110000
31221020121000101012100
4102312123100311300
5312423030004420
613144235300400
71314402102516
oct226633206560
957217011170
1020240469360
118647243231
123b0a5aa700
131ba74612b7
14da02004b6
157d6e1b190
hex4b66d0d70

20240469360 has 120 divisors (see below), whose sum is σ = 68043796704. Its totient is φ = 5391936000.

The previous prime is 20240469329. The next prime is 20240469427. The reversal of 20240469360 is 6396404202.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715485 + ... + 743235.

Almost surely, 220240469360 is an apocalyptic number.

20240469360 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 20240469360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34021898352).

20240469360 is an abundant number, since it is smaller than the sum of its proper divisors (47803327344).

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

20240469360 is a wasteful number, since it uses less digits than its factorization.

20240469360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28783 (or 28774 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20240469360 in words is "twenty billion, two hundred forty million, four hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1013 2026 3039 4052 5065 6078 8104 9117 10130 12156 15195 16208 18234 20260 24312 27751 30390 36468 40520 45585 48624 55502 60780 72936 81040 83253 91170 111004 121560 138755 145872 166506 182340 222008 243120 249759 277510 333012 364680 416265 444016 499518 555020 666024 729360 832530 999036 1110040 1248795 1332048 1665060 1998072 2220080 2497590 3330120 3996144 4995180 6660240 9990360 19980720 28111763 56223526 84335289 112447052 140558815 168670578 224894104 253005867 281117630 337341156 421676445 449788208 506011734 562235260 674682312 843352890 1012023468 1124470520 1265029335 1349364624 1686705780 2024046936 2248941040 2530058670 3373411560 4048093872 5060117340 6746823120 10120234680 20240469360