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20966432 = 252361467
BaseRepresentation
bin100111111111…
…0110000100000
31110110012112112
41033332300200
520331411212
62025214452
7343132424
oct117766040
943405475
1020966432
1110920433
127031428
134461296
142adab84
151c92422
hex13fec20

20966432 has 48 divisors (see below), whose sum is σ = 43872192. Its totient is φ = 9841920.

The previous prime is 20966431. The next prime is 20966459. The reversal of 20966432 is 23466902.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20966431) 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, 44663 + ... + 45129.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 220966432 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 20966432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

20966432 is an abundant number, since it is smaller than the sum of its proper divisors (22905760).

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

20966432 is a wasteful number, since it uses less digits than its factorization.

20966432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 20966432 is about 4578.9116610828. The cubic root of 20966432 is about 275.7453367549.

The spelling of 20966432 in words is "twenty million, nine hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 244 368 467 488 736 934 976 1403 1868 1952 2806 3736 5612 7472 10741 11224 14944 21482 22448 28487 42964 44896 56974 85928 113948 171856 227896 343712 455792 655201 911584 1310402 2620804 5241608 10483216 20966432