Search a number
-
+
20123649 = 3271324571
BaseRepresentation
bin100110011000…
…1000000000001
31101212101110100
41030301000001
520122424044
61555153013
7333022350
oct114610001
941771410
1020123649
11103a5217
1268a5769
1342277b0
14295b997
151b77869
hex1331001

20123649 has 24 divisors (see below), whose sum is σ = 35776832. Its totient is φ = 10614240.

The previous prime is 20123633. The next prime is 20123659. The reversal of 20123649 is 94632102.

20123649 is a `hidden beast` number, since 2 + 0 + 12 + 3 + 649 = 666.

It is a Cunningham number, because it is equal to 2723+1.

It is not a de Polignac number, because 20123649 - 24 = 20123633 is a prime.

It is a super-2 number, since 2×201236492 = 809922498150402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20123659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11467 + ... + 13104.

Almost surely, 220123649 is an apocalyptic number.

It is an amenable number.

20123649 is a deficient number, since it is larger than the sum of its proper divisors (15653183).

20123649 is a wasteful number, since it uses less digits than its factorization.

20123649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24597 (or 24594 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20123649 is about 4485.9390321314. The cubic root of 20123649 is about 272.0000045055. Note that the first 5 decimals are identical.

The spelling of 20123649 in words is "twenty million, one hundred twenty-three thousand, six hundred forty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 24571 73713 171997 221139 319423 515991 958269 1547973 2235961 2874807 6707883 20123649