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20953632 = 253731181
BaseRepresentation
bin100111111101…
…1101000100000
31110102112222110
41033323220200
520331004012
62025035320
7343050210
oct117735040
943375873
1020953632
1110911857
127025b40
1344584cb
142ad6240
151c8d73c
hex13fba20

20953632 has 48 divisors (see below), whose sum is σ = 62862912. Its totient is φ = 5986560.

The previous prime is 20953607. The next prime is 20953633. The reversal of 20953632 is 23635902.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20953632.

It is not an unprimeable number, because it can be changed into a prime (20953633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14919 + ... + 16262.

It is an arithmetic number, because the mean of its divisors is an integer number (1309644).

Almost surely, 220953632 is an apocalyptic number.

It is an amenable number.

20953632 is an abundant number, since it is smaller than the sum of its proper divisors (41909280).

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

20953632 is a wasteful number, since it uses less digits than its factorization.

20953632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31201 (or 31193 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 20953632 is about 4577.5137356430. The cubic root of 20953632 is about 275.6892111853.

The spelling of 20953632 in words is "twenty million, nine hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 31181 62362 93543 124724 187086 218267 249448 374172 436534 498896 654801 748344 873068 997792 1309602 1496688 1746136 2619204 2993376 3492272 5238408 6984544 10476816 20953632