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20159776 = 2572132343
BaseRepresentation
bin100110011100…
…1110100100000
31101221020000101
41030321310200
520130103101
62000032144
7333232600
oct114716440
941836011
1020159776
111041a37a
126902654
13423b080
14296ac00
151b83401
hex1339d20

20159776 has 144 divisors (see below), whose sum is σ = 53089344. Its totient is φ = 7451136.

The previous prime is 20159771. The next prime is 20159809. The reversal of 20159776 is 67795102.

It is not an unprimeable number, because it can be changed into a prime (20159771) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 468811 + ... + 468853.

It is an arithmetic number, because the mean of its divisors is an integer number (368676).

Almost surely, 220159776 is an apocalyptic number.

20159776 is a gapful number since it is divisible by the number (26) 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 20159776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544672).

20159776 is an abundant number, since it is smaller than the sum of its proper divisors (32929568).

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

20159776 is a wasteful number, since it uses less digits than its factorization.

20159776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 20159776 is about 4489.9639196769. The cubic root of 20159776 is about 272.1626766208.

The spelling of 20159776 in words is "twenty million, one hundred fifty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 43 46 49 52 56 86 91 92 98 104 112 161 172 182 184 196 208 224 299 301 322 344 364 368 392 416 559 598 602 637 644 688 728 736 784 989 1118 1127 1196 1204 1274 1288 1376 1456 1568 1978 2093 2107 2236 2254 2392 2408 2548 2576 2912 3913 3956 4186 4214 4472 4508 4784 4816 5096 5152 6923 7826 7912 8372 8428 8944 9016 9568 9632 10192 12857 13846 14651 15652 15824 16744 16856 17888 18032 20384 25714 27391 27692 29302 31304 31648 33488 33712 36064 48461 51428 54782 55384 58604 62608 66976 67424 89999 96922 102856 109564 110768 117208 125216 179998 193844 205712 219128 221536 234416 359996 387688 411424 438256 468832 629993 719992 775376 876512 1259986 1439984 1550752 2519972 2879968 5039944 10079888 20159776