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20860480 = 265194773
BaseRepresentation
bin100111110010…
…0111001000000
31110020211012101
41033210321000
520320013410
62023040144
7342211504
oct117447100
943224171
1020860480
1110858873
126ba0054
134424ca4
142ab0304
151c70d3a
hex13e4e40

20860480 has 112 divisors (see below), whose sum is σ = 54132480. Its totient is φ = 7630848.

The previous prime is 20860459. The next prime is 20860493. The reversal of 20860480 is 8406802.

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 15 ways as a sum of consecutive naturals, for example, 285724 + ... + 285796.

Almost surely, 220860480 is an apocalyptic number.

20860480 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 20860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066240).

20860480 is an abundant number, since it is smaller than the sum of its proper divisors (33272000).

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

20860480 is a wasteful number, since it uses less digits than its factorization.

20860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20860480 is about 4567.3274461111. The cubic root of 20860480 is about 275.2800672923.

The spelling of 20860480 in words is "twenty million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 64 73 76 80 94 95 146 152 160 188 190 235 292 304 320 365 376 380 470 584 608 730 752 760 893 940 1168 1216 1387 1460 1504 1520 1786 1880 2336 2774 2920 3008 3040 3431 3572 3760 4465 4672 5548 5840 6080 6862 6935 7144 7520 8930 11096 11680 13724 13870 14288 15040 17155 17860 22192 23360 27448 27740 28576 34310 35720 44384 54896 55480 57152 65189 68620 71440 88768 109792 110960 130378 137240 142880 219584 221920 260756 274480 285760 325945 443840 521512 548960 651890 1043024 1097920 1303780 2086048 2607560 4172096 5215120 10430240 20860480