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20004241520 = 2454731117107
BaseRepresentation
bin10010101000010110…
…001000000001110000
31220122010111202112002
4102220112020001300
5311432041212040
613105000153132
71305503150564
oct225026100160
956563452462
1020004241520
11853596680a
123a634687a8
131b6a531403
14d7aaab6a4
157c1307a15
hex4a8588070

20004241520 has 80 divisors (see below), whose sum is σ = 47654949888. Its totient is φ = 7805809920.

The previous prime is 20004241493. The next prime is 20004241529. The reversal of 20004241520 is 2514240002.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 20004241492 and 20004241501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004241529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160807 + ... + 1177913.

Almost surely, 220004241520 is an apocalyptic number.

20004241520 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 20004241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23827474944).

20004241520 is an abundant number, since it is smaller than the sum of its proper divisors (27650708368).

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

20004241520 is a wasteful number, since it uses less digits than its factorization.

20004241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17478 (or 17472 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 20004241520 its reverse (2514240002), we get a palindrome (22518481522).

The spelling of 20004241520 in words is "twenty billion, four million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 311 376 470 622 752 940 1244 1555 1880 2488 3110 3760 4976 6220 12440 14617 17107 24880 29234 34214 58468 68428 73085 85535 116936 136856 146170 171070 233872 273712 292340 342140 584680 684280 804029 1169360 1368560 1608058 3216116 4020145 5320277 6432232 8040290 10640554 12864464 16080580 21281108 26601385 32161160 42562216 53202770 64322320 85124432 106405540 212811080 250053019 425622160 500106038 1000212076 1250265095 2000424152 2500530190 4000848304 5001060380 10002120760 20004241520