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20075424 = 253297211
BaseRepresentation
bin100110010010…
…1001110100000
31101202221022020
41030211032200
520114403144
61554141440
7332431635
oct114451640
941687266
1020075424
1110371a66
126881880
13420b865
14294818c
151b68419
hex13253a0

20075424 has 48 divisors (see below), whose sum is σ = 54522720. Its totient is φ = 6460160.

The previous prime is 20075417. The next prime is 20075441. The reversal of 20075424 is 42457002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20075394 and 20075403.

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, 822 + ... + 6389.

It is an arithmetic number, because the mean of its divisors is an integer number (1135890).

Almost surely, 220075424 is an apocalyptic number.

20075424 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 20075424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27261360).

20075424 is an abundant number, since it is smaller than the sum of its proper divisors (34447296).

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

20075424 is a wasteful number, since it uses less digits than its factorization.

20075424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 20075424 is about 4480.5606792008. The cubic root of 20075424 is about 271.7825540097.

The spelling of 20075424 in words is "twenty million, seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 7211 14422 21633 28844 43266 57688 86532 115376 173064 209119 230752 346128 418238 627357 692256 836476 1254714 1672952 2509428 3345904 5018856 6691808 10037712 20075424