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20214024 = 2331997457
BaseRepresentation
bin100110100011…
…1000100001000
31102000222102120
41031013010020
520133322044
62001131240
7333550005
oct115070410
942028376
1020214024
1110457106
126929b20
13425997c
1429828ac
151b94519
hex1347108

20214024 has 64 divisors (see below), whose sum is σ = 53860800. Its totient is φ = 6303744.

The previous prime is 20214023. The next prime is 20214053. The reversal of 20214024 is 42041202.

It is a junction number, because it is equal to n+sod(n) for n = 20213994 and 20214012.

It is not an unprimeable number, because it can be changed into a prime (20214023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44004 + ... + 44460.

It is an arithmetic number, because the mean of its divisors is an integer number (841575).

Almost surely, 220214024 is an apocalyptic number.

20214024 is a gapful number since it is divisible by the number (24) 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 20214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26930400).

20214024 is an abundant number, since it is smaller than the sum of its proper divisors (33646776).

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

20214024 is a wasteful number, since it uses less digits than its factorization.

20214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20214024 is about 4496.0008896796. Note that the first 3 decimals coincide. The cubic root of 20214024 is about 272.4065790920.

Adding to 20214024 its reverse (42041202), we get a palindrome (62255226).

The spelling of 20214024 in words is "twenty million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 114 152 194 228 291 388 456 457 582 776 914 1164 1371 1828 1843 2328 2742 3656 3686 5484 5529 7372 8683 10968 11058 14744 17366 22116 26049 34732 44232 44329 52098 69464 88658 104196 132987 177316 208392 265974 354632 531948 842251 1063896 1684502 2526753 3369004 5053506 6738008 10107012 20214024