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20295168 = 29373181
BaseRepresentation
bin100110101101…
…0111000000000
31102012002201220
41031122320000
520143421133
62002555040
7334335405
oct115327000
942162656
1020295168
1110502073
126968a80
13428789a
1429a42ac
151bad5b3
hex135ae00

20295168 has 80 divisors (see below), whose sum is σ = 55111056. Its totient is φ = 6635520.

The previous prime is 20295167. The next prime is 20295181. The reversal of 20295168 is 86159202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20295167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112038 + ... + 112218.

Almost surely, 220295168 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 20295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27555528).

20295168 is an abundant number, since it is smaller than the sum of its proper divisors (34815888).

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

20295168 is an equidigital number, since it uses as much as digits as its factorization.

20295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 20295168 is about 4505.0158712262. The cubic root of 20295168 is about 272.7705944919.

The spelling of 20295168 in words is "twenty million, two hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 181 192 219 256 292 362 384 438 512 543 584 724 768 876 1086 1168 1448 1536 1752 2172 2336 2896 3504 4344 4672 5792 7008 8688 9344 11584 13213 14016 17376 18688 23168 26426 28032 34752 37376 39639 46336 52852 56064 69504 79278 92672 105704 112128 139008 158556 211408 278016 317112 422816 634224 845632 1268448 1691264 2536896 3382528 5073792 6765056 10147584 20295168