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20102432240 = 24511193118361
BaseRepresentation
bin10010101110001100…
…101100010111110000
31220212222021100212102
4102232030230113300
5312132210312430
613122424515532
71311104566112
oct225614542760
956788240772
1020102432240
118586331970
123a9031bba8
131b84990527
14d89b4b3b2
157c9c51345
hex4ae32c5f0

20102432240 has 80 divisors (see below), whose sum is σ = 51251692896. Its totient is φ = 7272038400.

The previous prime is 20102432227. The next prime is 20102432243. The reversal of 20102432240 is 4223420102.

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

It is a super-3 number, since 3×201024322403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102432243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110660 + ... + 229020.

Almost surely, 220102432240 is an apocalyptic number.

20102432240 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 20102432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25625846448).

20102432240 is an abundant number, since it is smaller than the sum of its proper divisors (31149260656).

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

20102432240 is a wasteful number, since it uses less digits than its factorization.

20102432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118578 (or 118572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20102432240 its reverse (4223420102), we get a palindrome (24325852342).

The spelling of 20102432240 in words is "twenty billion, one hundred two million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 193 220 386 440 772 880 965 1544 1930 2123 3088 3860 4246 7720 8492 10615 15440 16984 21230 33968 42460 84920 118361 169840 236722 473444 591805 946888 1183610 1301971 1893776 2367220 2603942 4734440 5207884 6509855 9468880 10415768 13019710 20831536 22843673 26039420 45687346 52078840 91374692 104157680 114218365 182749384 228436730 251280403 365498768 456873460 502560806 913746920 1005121612 1256402015 1827493840 2010243224 2512804030 4020486448 5025608060 10051216120 20102432240