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20953352 = 2371947419
BaseRepresentation
bin100111111101…
…1100100001000
31110102112121002
41033323210020
520331001402
62025034132
7343046330
oct117734410
943375532
1020953352
1110911622
127025948
134458344
142ad60c0
151c8d602
hex13fb908

20953352 has 64 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 8306496.

The previous prime is 20953351. The next prime is 20953363. The reversal of 20953352 is 25335902.

It is not an unprimeable number, because it can be changed into a prime (20953351) 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 15 ways as a sum of consecutive naturals, for example, 49799 + ... + 50217.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 220953352 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 20953352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

20953352 is an abundant number, since it is smaller than the sum of its proper divisors (27430648).

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

20953352 is a wasteful number, since it uses less digits than its factorization.

20953352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 20953352 is about 4577.4831512524. The cubic root of 20953352 is about 275.6879831830.

The spelling of 20953352 in words is "twenty million, nine hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 76 94 133 152 188 266 329 376 419 532 658 838 893 1064 1316 1676 1786 2632 2933 3352 3572 5866 6251 7144 7961 11732 12502 15922 19693 23464 25004 31844 39386 50008 55727 63688 78772 111454 137851 157544 222908 275702 374167 445816 551404 748334 1102808 1496668 2619169 2993336 5238338 10476676 20953352