Search a number
-
+
13919232 = 210323197
BaseRepresentation
bin110101000110…
…010000000000
3222012011121010
4311012100000
512030403412
61214200520
7226211565
oct65062000
928164533
1013919232
1179477a8
1247b3140
132b64742
141bc486c
15134e33c
hexd46400

13919232 has 88 divisors (see below), whose sum is σ = 38909376. Its totient is φ = 4415488.

The previous prime is 13919203. The next prime is 13919233. The reversal of 13919232 is 23291931.

It is a happy number.

Its product of digits (2916) is a multiple of the sum of its prime factors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 13919232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13919233) 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 7 ways as a sum of consecutive naturals, for example, 70558 + ... + 70754.

It is an arithmetic number, because the mean of its divisors is an integer number (442152).

Almost surely, 213919232 is an apocalyptic number.

13919232 is a gapful number since it is divisible by the number (12) 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 13919232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19454688).

13919232 is an abundant number, since it is smaller than the sum of its proper divisors (24990144).

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

13919232 is a wasteful number, since it uses less digits than its factorization.

13919232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 13919232 is about 3730.8486970125. The cubic root of 13919232 is about 240.5498504179.

The spelling of 13919232 in words is "thirteen million, nine hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 197 256 276 368 384 394 512 552 591 736 768 788 1024 1104 1182 1472 1536 1576 2208 2364 2944 3072 3152 4416 4531 4728 5888 6304 8832 9062 9456 11776 12608 13593 17664 18124 18912 23552 25216 27186 35328 36248 37824 50432 54372 70656 72496 75648 100864 108744 144992 151296 201728 217488 289984 302592 434976 579968 605184 869952 1159936 1739904 2319872 3479808 4639744 6959616 13919232