Search a number
-
+
20614944 = 253730677
BaseRepresentation
bin100111010100…
…0111100100000
31102210100101110
41032220330200
520234134234
62013503320
7340136610
oct116507440
942710343
1020614944
1110700349
126aa1b40
13436a2bc
142a48a40
151c231e9
hex13a8f20

20614944 has 48 divisors (see below), whose sum is σ = 61846848. Its totient is φ = 5889792.

The previous prime is 20614927. The next prime is 20614949. The reversal of 20614944 is 44941602.

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

It is a super-2 number, since 2×206149442 = 849951832246272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20614949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14667 + ... + 16010.

It is an arithmetic number, because the mean of its divisors is an integer number (1288476).

Almost surely, 220614944 is an apocalyptic number.

20614944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20614944 is an abundant number, since it is smaller than the sum of its proper divisors (41231904).

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

20614944 is a wasteful number, since it uses less digits than its factorization.

20614944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30697 (or 30689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 20614944 is about 4540.3682670021. The cubic root of 20614944 is about 274.1957505057.

The spelling of 20614944 in words is "twenty million, six hundred fourteen thousand, nine hundred forty-four".

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 30677 61354 92031 122708 184062 214739 245416 368124 429478 490832 644217 736248 858956 981664 1288434 1472496 1717912 2576868 2944992 3435824 5153736 6871648 10307472 20614944