Search a number
-
+
20114730 = 2345191307
BaseRepresentation
bin100110010111…
…0110100101010
31101211221020000
41030232310222
520122132410
61555043430
7332654346
oct114566452
941757200
1020114730
1110399549
1268a0576
13422370c
142958626
151b74dc0
hex132ed2a

20114730 has 80 divisors (see below), whose sum is σ = 56976480. Its totient is φ = 5077728.

The previous prime is 20114713. The next prime is 20114779. The reversal of 20114730 is 3741102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 14737 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (712206).

Almost surely, 220114730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20114730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28488240).

20114730 is an abundant number, since it is smaller than the sum of its proper divisors (36861750).

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

20114730 is a wasteful number, since it uses less digits than its factorization.

20114730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20114730 is about 4484.9448157140. The cubic root of 20114730 is about 271.9598142045.

Adding to 20114730 its reverse (3741102), we get a palindrome (23855832).

The spelling of 20114730 in words is "twenty million, one hundred fourteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1307 1539 1710 2565 2614 3078 3921 5130 6535 7695 7842 11763 13070 15390 19605 23526 24833 35289 39210 49666 58815 70578 74499 105867 117630 124165 148998 176445 211734 223497 248330 352890 372495 446994 529335 670491 744990 1058670 1117485 1340982 2011473 2234970 3352455 4022946 6704910 10057365 20114730