Search a number
-
+
20170624 = 27374259
BaseRepresentation
bin100110011110…
…0011110000000
31101221202220011
41030330132000
520130424444
62000154304
7333306325
oct114743600
941852804
1020170624
1110427541
126908994
134242ca6
142970b4c
151b86734
hex133c780

20170624 has 32 divisors (see below), whose sum is σ = 41279400. Its totient is φ = 9810432.

The previous prime is 20170607. The next prime is 20170627. The reversal of 20170624 is 42607102.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20170595 and 20170604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20170627) 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 3 ways as a sum of consecutive naturals, for example, 2607 + ... + 6865.

Almost surely, 220170624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20170624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20639700).

20170624 is an abundant number, since it is smaller than the sum of its proper divisors (21108776).

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

20170624 is an equidigital number, since it uses as much as digits as its factorization.

20170624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 20170624 is about 4491.1717847350. The cubic root of 20170624 is about 272.2114848897.

Adding to 20170624 its reverse (42607102), we get a palindrome (62777726).

The spelling of 20170624 in words is "twenty million, one hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4259 4736 8518 17036 34072 68144 136288 157583 272576 315166 545152 630332 1260664 2521328 5042656 10085312 20170624