Search a number
-
+
20208302160 = 2435538319141
BaseRepresentation
bin10010110100100000…
…100011100001010000
31221011100111010002120
4102310200203201100
5312341311132120
613141130014240
71313531506554
oct226440434120
957140433076
1020208302160
118630072572
123abb877380
131ba08aaa57
14d99c29864
157d41b5140
hex4b4823850

20208302160 has 160 divisors (see below), whose sum is σ = 64600115328. Its totient is φ = 5223229440.

The previous prime is 20208302137. The next prime is 20208302201. The reversal of 20208302160 is 6120380202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20208302160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046190 + ... + 1065330.

Almost surely, 220208302160 is an apocalyptic number.

20208302160 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 20208302160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32300057664).

20208302160 is an abundant number, since it is smaller than the sum of its proper divisors (44391813168).

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

20208302160 is a wasteful number, since it uses less digits than its factorization.

20208302160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19293 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20208302160 its reverse (6120380202), we get a palindrome (26328682362).

The spelling of 20208302160 in words is "twenty billion, two hundred eight million, three hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 83 106 120 159 166 212 240 249 265 318 332 415 424 498 530 636 664 795 830 848 996 1060 1245 1272 1328 1590 1660 1992 2120 2490 2544 3180 3320 3984 4240 4399 4980 6360 6640 8798 9960 12720 13197 17596 19141 19920 21995 26394 35192 38282 43990 52788 57423 65985 70384 76564 87980 95705 105576 114846 131970 153128 175960 191410 211152 229692 263940 287115 306256 351920 382820 459384 527880 574230 765640 918768 1014473 1055760 1148460 1531280 1588703 2028946 2296920 3043419 3177406 4057892 4593840 4766109 5072365 6086838 6354812 7943515 8115784 9532218 10144730 12173676 12709624 15217095 15887030 16231568 19064436 20289460 23830545 24347352 25419248 30434190 31774060 38128872 40578920 47661090 48694704 60868380 63548120 76257744 81157840 84201259 95322180 121736760 127096240 168402518 190644360 243473520 252603777 336805036 381288720 421006295 505207554 673610072 842012590 1010415108 1263018885 1347220144 1684025180 2020830216 2526037770 3368050360 4041660432 5052075540 6736100720 10104151080 20208302160