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20243832 = 2337412939
BaseRepresentation
bin100110100111…
…0010101111000
31102002111022120
41031032111320
520140300312
62001521240
7334032630
oct115162570
942074276
1020243832
1110477544
126943220
13426a3cb
14298d6c0
151b9d28c
hex134e578

20243832 has 64 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 5640960.

The previous prime is 20243831. The next prime is 20243833. The reversal of 20243832 is 23834202.

It is an interprime number because it is at equal distance from previous prime (20243831) and next prime (20243833).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20243831) 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, 5419 + ... + 8357.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 220243832 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 20243832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

20243832 is an abundant number, since it is smaller than the sum of its proper divisors (39026568).

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

20243832 is a wasteful number, since it uses less digits than its factorization.

20243832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20243832 is about 4499.3146144719. The cubic root of 20243832 is about 272.5404120410.

The spelling of 20243832 in words is "twenty million, two hundred forty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 2939 3444 5878 6888 8817 11756 17634 20573 23512 35268 41146 61719 70536 82292 120499 123438 164584 240998 246876 361497 481996 493752 722994 843493 963992 1445988 1686986 2530479 2891976 3373972 5060958 6747944 10121916 20243832