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20143968 = 2531316141
BaseRepresentation
bin100110011010…
…1111101100000
31101220102022220
41030311331200
520124101333
61555431040
7333135525
oct114657540
941812286
1020143968
1110409509
1268b5480
134233b10
14296514c
151b7d8b3
hex1335f60

20143968 has 48 divisors (see below), whose sum is σ = 56948976. Its totient is φ = 6197760.

The previous prime is 20143967. The next prime is 20143979. The reversal of 20143968 is 86934102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20143961) 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, 6823 + ... + 9318.

It is an arithmetic number, because the mean of its divisors is an integer number (1186437).

Almost surely, 220143968 is an apocalyptic number.

It is an amenable number.

20143968 is an abundant number, since it is smaller than the sum of its proper divisors (36805008).

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

20143968 is a wasteful number, since it uses less digits than its factorization.

20143968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16167 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 20143968 is about 4488.2032039559. The cubic root of 20143968 is about 272.0915205288.

The spelling of 20143968 in words is "twenty million, one hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 16141 32282 48423 64564 96846 129128 193692 209833 258256 387384 419666 516512 629499 774768 839332 1258998 1549536 1678664 2517996 3357328 5035992 6714656 10071984 20143968