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20278016 = 281119379
BaseRepresentation
bin100110101011…
…0101100000000
31102011020012122
41031112230000
520142344031
62002343412
7334234403
oct115265400
942136178
1020278016
11104a01a0
12695ab68
13427cb35
14299bd3a
151ba847b
hex1356b00

20278016 has 72 divisors (see below), whose sum is σ = 46603200. Its totient is φ = 8709120.

The previous prime is 20278003. The next prime is 20278021. The reversal of 20278016 is 61087202.

It is a super-2 number, since 2×202780162 = 822395865792512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53315 + ... + 53693.

Almost surely, 220278016 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 20278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301600).

20278016 is an abundant number, since it is smaller than the sum of its proper divisors (26325184).

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

20278016 is a wasteful number, since it uses less digits than its factorization.

20278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 20278016 is about 4503.1118129578. Note that the first 3 decimals coincide. The cubic root of 20278016 is about 272.6937308783.

The spelling of 20278016 in words is "twenty million, two hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 379 418 608 704 758 836 1216 1408 1516 1672 2432 2816 3032 3344 4169 4864 6064 6688 7201 8338 12128 13376 14402 16676 24256 26752 28804 33352 48512 53504 57608 66704 79211 97024 115216 133408 158422 230432 266816 316844 460864 533632 633688 921728 1067264 1267376 1843456 2534752 5069504 10139008 20278016