Search a number
-
+
20832821920 = 255971797499
BaseRepresentation
bin10011011001101110…
…111010001010100000
31222202212122000011001
4103121232322022200
5320131200300140
613323115401344
71335154031101
oct233156721240
958685560131
1020832821920
1189206484a9
124054a53254
131c700b0081
141018b563a8
1581de27e9a
hex4d9bba2a0

20832821920 has 96 divisors (see below), whose sum is σ = 50009400000. Its totient is φ = 8200052736.

The previous prime is 20832821879. The next prime is 20832821927. The reversal of 20832821920 is 2912823802.

It is a self number, because there is not a number n which added to its sum of digits gives 20832821920.

It is not an unprimeable number, because it can be changed into a prime (20832821927) 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, 2774331 + ... + 2781829.

It is an arithmetic number, because the mean of its divisors is an integer number (520931250).

Almost surely, 220832821920 is an apocalyptic number.

20832821920 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 20832821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25004700000).

20832821920 is an abundant number, since it is smaller than the sum of its proper divisors (29176578080).

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

20832821920 is a wasteful number, since it uses less digits than its factorization.

20832821920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 20832821920 in words is "twenty billion, eight hundred thirty-two million, eight hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 179 194 358 388 485 716 776 895 970 1432 1552 1790 1940 2864 3104 3580 3880 5728 7160 7499 7760 14320 14998 15520 17363 28640 29996 34726 37495 59992 69452 74990 86815 119984 138904 149980 173630 239968 277808 299960 347260 555616 599920 694520 727403 1199840 1342321 1389040 1454806 2684642 2778080 2909612 3637015 5369284 5819224 6711605 7274030 10738568 11638448 13423210 14548060 21477136 23276896 26846420 29096120 42954272 53692840 58192240 107385680 116384480 130205137 214771360 260410274 520820548 651025685 1041641096 1302051370 2083282192 2604102740 4166564384 5208205480 10416410960 20832821920