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20308080 = 24351323283
BaseRepresentation
bin100110101111…
…0000001110000
31102012202110010
41031132001300
520144324310
62003134520
7334421142
oct115360160
942182403
1020308080
1110510841
126974440
134290720
1429a8c92
151bb2320
hex135e070

20308080 has 160 divisors (see below), whose sum is σ = 70995456. Its totient is φ = 4764672.

The previous prime is 20308073. The next prime is 20308097. The reversal of 20308080 is 8080302.

It is a super-2 number, since 2×203080802 = 824836226572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 71619 + ... + 71901.

Almost surely, 220308080 is an apocalyptic number.

20308080 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 20308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35497728).

20308080 is an abundant number, since it is smaller than the sum of its proper divisors (50687376).

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

20308080 is a wasteful number, since it uses less digits than its factorization.

20308080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20308080 is about 4506.4487126783. The cubic root of 20308080 is about 272.8284287387.

Adding to 20308080 its reverse (8080302), we get a palindrome (28388382).

The spelling of 20308080 in words is "twenty million, three hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 184 195 208 230 240 260 276 283 299 312 345 368 390 460 520 552 566 598 624 690 780 849 897 920 1040 1104 1132 1196 1380 1415 1495 1560 1698 1794 1840 2264 2392 2760 2830 2990 3120 3396 3588 3679 4245 4485 4528 4784 5520 5660 5980 6509 6792 7176 7358 8490 8970 11037 11320 11960 13018 13584 14352 14716 16980 17940 18395 19527 22074 22640 23920 26036 29432 32545 33960 35880 36790 39054 44148 52072 55185 58864 65090 67920 71760 73580 78108 84617 88296 97635 104144 110370 130180 147160 156216 169234 176592 195270 220740 253851 260360 294320 312432 338468 390540 423085 441480 507702 520720 676936 781080 846170 882960 1015404 1269255 1353872 1562160 1692340 2030808 2538510 3384680 4061616 5077020 6769360 10154040 20308080