Search a number
-
+
20421525540 = 22351394127823
BaseRepresentation
bin10011000001001101…
…111100000000100100
31221201012200222120210
4103001031330000210
5313310402304130
613214224055420
71322031050223
oct230115740044
957635628523
1020421525540
11872a467439
123b5b164570
131c05b14b30
14dba290cba
157e7c825b0
hex4c137c024

20421525540 has 96 divisors (see below), whose sum is σ = 61646409216. Its totient is φ = 5021314560.

The previous prime is 20421525539. The next prime is 20421525547. The reversal of 20421525540 is 4552512402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20421525498 and 20421525507.

It is not an unprimeable number, because it can be changed into a prime (20421525547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720069 + ... + 747891.

It is an arithmetic number, because the mean of its divisors is an integer number (642150096).

Almost surely, 220421525540 is an apocalyptic number.

20421525540 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 20421525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30823204608).

20421525540 is an abundant number, since it is smaller than the sum of its proper divisors (41224883676).

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

20421525540 is a wasteful number, since it uses less digits than its factorization.

20421525540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28789 (or 28787 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 20421525540 in words is "twenty billion, four hundred twenty-one million, five hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 941 1882 2823 3764 4705 5646 9410 11292 12233 14115 18820 24466 27823 28230 36699 48932 55646 56460 61165 73398 83469 111292 122330 139115 146796 166938 183495 244660 278230 333876 361699 366990 417345 556460 723398 733980 834690 1085097 1446796 1669380 1808495 2170194 3616990 4340388 5425485 7233980 10850970 21701940 26181443 52362886 78544329 104725772 130907215 157088658 261814430 314177316 340358759 392721645 523628860 680717518 785443290 1021076277 1361435036 1570886580 1701793795 2042152554 3403587590 4084305108 5105381385 6807175180 10210762770 20421525540