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20389776 = 2431123273
BaseRepresentation
bin100110111000…
…1111110010000
31102100220111220
41031301332100
520204433101
62005005040
7335211261
oct115617620
942326456
1020389776
1110567160
1269b3780
1342bb974
1429ca968
151bcb636
hex1371f90

20389776 has 120 divisors (see below), whose sum is σ = 60891936. Its totient is φ = 5829120.

The previous prime is 20389763. The next prime is 20389801. The reversal of 20389776 is 67798302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279276 + ... + 279348.

Almost surely, 220389776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20389776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30445968).

20389776 is an abundant number, since it is smaller than the sum of its proper divisors (40502160).

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

20389776 is a wasteful number, since it uses less digits than its factorization.

20389776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 20389776 is about 4515.5039585854. The cubic root of 20389776 is about 273.1937869219.

The spelling of 20389776 in words is "twenty million, three hundred eighty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 73 88 92 132 138 146 176 184 219 253 264 276 292 368 438 506 528 529 552 584 759 803 876 1012 1058 1104 1168 1518 1587 1606 1679 1752 2024 2116 2409 3036 3174 3212 3358 3504 4048 4232 4818 5037 5819 6072 6348 6424 6716 8464 9636 10074 11638 12144 12696 12848 13432 17457 18469 19272 20148 23276 25392 26864 34914 36938 38544 38617 40296 46552 55407 69828 73876 77234 80592 93104 110814 115851 139656 147752 154468 221628 231702 279312 295504 308936 424787 443256 463404 617872 849574 886512 926808 1274361 1699148 1853616 2548722 3398296 5097444 6796592 10194888 20389776