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20077696 = 27227691
BaseRepresentation
bin100110010010…
…1110010000000
31101210001102101
41030211302000
520114441241
61554200144
7332441362
oct114456200
941701371
1020077696
1110373741
126883054
13420c8c2
142948d32
151b68e31
hex1325c80

20077696 has 32 divisors (see below), whose sum is σ = 40232880. Its totient is φ = 9980160.

The previous prime is 20077693. The next prime is 20077703. The reversal of 20077696 is 69677002.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×200776962 = 806227753336832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20077693) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28711 + ... + 29401.

Almost surely, 220077696 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 20077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116440).

20077696 is an abundant number, since it is smaller than the sum of its proper divisors (20155184).

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

20077696 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (20077695) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (932).

20077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 20077696 is about 4480.8142117254. The cubic root of 20077696 is about 271.7928064568.

The spelling of 20077696 in words is "twenty million, seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 227 454 691 908 1382 1816 2764 3632 5528 7264 11056 14528 22112 29056 44224 88448 156857 313714 627428 1254856 2509712 5019424 10038848 20077696