Search a number
-
+
20743968 = 253730869
BaseRepresentation
bin100111100100…
…0011100100000
31110000220101010
41033020130200
520302301333
62020340520
7341215020
oct117103440
943026333
1020743968
1110789283
126b44740
1343b3c4b
142a7da80
151c4b563
hex13c8720

20743968 has 48 divisors (see below), whose sum is σ = 62233920. Its totient is φ = 5926656.

The previous prime is 20743949. The next prime is 20743973. The reversal of 20743968 is 86934702.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14763 + ... + 16106.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 220743968 is an apocalyptic number.

20743968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20743968 is an abundant number, since it is smaller than the sum of its proper divisors (41489952).

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

20743968 is a wasteful number, since it uses less digits than its factorization.

20743968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30889 (or 30881 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 20743968 is about 4554.5546434311. The cubic root of 20743968 is about 274.7666030702.

The spelling of 20743968 in words is "twenty million, seven hundred forty-three thousand, nine hundred sixty-eight".

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 30869 61738 92607 123476 185214 216083 246952 370428 432166 493904 648249 740856 864332 987808 1296498 1481712 1728664 2592996 2963424 3457328 5185992 6914656 10371984 20743968