Search a number
-
+
20278272 = 210372341
BaseRepresentation
bin100110101011…
…0110000000000
31102011020120010
41031112300000
520142401042
62002344520
7334235220
oct115266000
942136503
1020278272
11104a0403
12695b140
13427cca1
14299c080
151ba859c
hex1356c00

20278272 has 176 divisors, whose sum is σ = 66028032. Its totient is φ = 5406720.

The previous prime is 20278267. The next prime is 20278351. The reversal of 20278272 is 27287202.

It is a super-2 number, since 2×202782722 = 822416630611968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494572 + ... + 494612.

Almost surely, 220278272 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 20278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014016).

20278272 is an abundant number, since it is smaller than the sum of its proper divisors (45749760).

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

20278272 is a wasteful number, since it uses less digits than its factorization.

20278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 20278272 is about 4503.1402376564. The cubic root of 20278272 is about 272.6948784150.

The spelling of 20278272 in words is "twenty million, two hundred seventy-eight thousand, two hundred seventy-two".