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20019920940 = 223251571913709
BaseRepresentation
bin10010101001010001…
…111100000000101100
31220200020000100122100
4102221101330000230
5312000044432230
613110320215100
71306053343305
oct225121740054
956606010570
1020019920940
1185437a5a08
123a6876a490
131b70861086
14d7cbcd7ac
157c28a3660
hex4a947c02c

20019920940 has 144 divisors (see below), whose sum is σ = 61450421760. Its totient is φ = 5275445760.

The previous prime is 20019920917. The next prime is 20019920941. The reversal of 20019920940 is 4902991002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20019920895 and 20019920904.

It is not an unprimeable number, because it can be changed into a prime (20019920941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5395806 + ... + 5399514.

It is an arithmetic number, because the mean of its divisors is an integer number (426739040).

Almost surely, 220019920940 is an apocalyptic number.

20019920940 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 20019920940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30725210880).

20019920940 is an abundant number, since it is smaller than the sum of its proper divisors (41430500820).

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

20019920940 is a wasteful number, since it uses less digits than its factorization.

20019920940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 20019920940 in words is "twenty billion, nineteen million, nine hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 191 314 382 471 573 628 764 785 942 955 1146 1413 1570 1719 1884 1910 2292 2355 2826 2865 3140 3438 3709 3820 4710 5652 5730 6876 7065 7418 8595 9420 11127 11460 14130 14836 17190 18545 22254 28260 29987 33381 34380 37090 44508 55635 59974 66762 74180 89961 111270 119948 133524 149935 166905 179922 222540 269883 299870 333810 359844 449805 539766 582313 599740 667620 708419 899610 1079532 1164626 1349415 1416838 1746939 1799220 2125257 2329252 2698830 2833676 2911565 3493878 3542095 4250514 5240817 5397660 5823130 6375771 6987756 7084190 8501028 8734695 10481634 10626285 11646260 12751542 14168380 17469390 20963268 21252570 25503084 26204085 31878855 34938780 42505140 52408170 63757710 104816340 111221783 127515420 222443566 333665349 444887132 556108915 667330698 1000996047 1112217830 1334661396 1668326745 2001992094 2224435660 3336653490 4003984188 5004980235 6673306980 10009960470 20019920940