Search a number
-
+
19939024 = 247533359
BaseRepresentation
bin100110000001…
…1111011010000
31101112000012101
41030003323100
520101022044
61551210144
7331323160
oct114037320
941460171
1019939024
1110289536
126816954
134191751
1429105a0
151b3ccd4
hex1303ed0

19939024 has 40 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 8381568.

The previous prime is 19939021. The next prime is 19939027. The reversal of 19939024 is 42093991.

It is an interprime number because it is at equal distance from previous prime (19939021) and next prime (19939027).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19939021) 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, 4257 + ... + 7615.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 219939024 is an apocalyptic number.

19939024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19939024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

19939024 is an abundant number, since it is smaller than the sum of its proper divisors (25058096).

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

19939024 is a wasteful number, since it uses less digits than its factorization.

19939024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 19939024 is about 4465.3134268492. The cubic root of 19939024 is about 271.1656236249.

The spelling of 19939024 in words is "nineteen million, nine hundred thirty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 3359 5936 6718 13436 23513 26872 47026 53744 94052 178027 188104 356054 376208 712108 1246189 1424216 2492378 2848432 4984756 9969512 19939024