Search a number
-
+
20858006130 = 23513434093041
BaseRepresentation
bin10011011011001110…
…111110101001110010
31222211122000111101120
4103123032332221302
5320204122144010
613325415243110
71335611061333
oct233316765162
958748014346
1020858006130
1189338897a5
124061379496
131c7538a080
14101c23028a
1582124ee70
hex4db3bea72

20858006130 has 128 divisors (see below), whose sum is σ = 55316701440. Its totient is φ = 5000970240.

The previous prime is 20858006123. The next prime is 20858006131. The reversal of 20858006130 is 3160085802.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20858006091 and 20858006100.

It is not an unprimeable number, because it can be changed into a prime (20858006131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6857410 + ... + 6860450.

It is an arithmetic number, because the mean of its divisors is an integer number (432161730).

Almost surely, 220858006130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20858006130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27658350720).

20858006130 is an abundant number, since it is smaller than the sum of its proper divisors (34458695310).

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

20858006130 is a wasteful number, since it uses less digits than its factorization.

20858006130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 20858006130 in words is "twenty billion, eight hundred fifty-eight million, six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 409 430 559 645 818 1118 1227 1290 1677 2045 2454 2795 3041 3354 4090 5317 5590 6082 6135 8385 9123 10634 12270 15205 15951 16770 17587 18246 26585 30410 31902 35174 39533 45615 52761 53170 79066 79755 87935 91230 105522 118599 130763 159510 175870 197665 228631 237198 261526 263805 392289 395330 457262 527610 592995 653815 685893 784578 1143155 1185990 1243769 1307630 1371786 1699919 1961445 2286310 2487538 3399838 3429465 3731307 3922890 5099757 6218845 6858930 7462614 8499595 10199514 12437690 16168997 16999190 18656535 25498785 32337994 37313070 48506991 50997570 53482067 80844985 97013982 106964134 160446201 161689970 242534955 267410335 320892402 485069910 534820670 695266871 802231005 1390533742 1604462010 2085800613 3476334355 4171601226 6952668710 10429003065 20858006130