[go: up one dir, main page]

Search a number
-
+
12319593 = 311132472
BaseRepresentation
bin101110111111…
…101101101001
3212011220022020
4232333231221
511123211333
61120015053
7206500116
oct56775551
925156266
1012319593
116a54990
124161489
132724600
1418c990d
1511353b3
hexbbfb69

12319593 has 36 divisors (see below), whose sum is σ = 19825488. Its totient is φ = 6745440.

The previous prime is 12319591. The next prime is 12319597. The reversal of 12319593 is 39591321.

It is not a de Polignac number, because 12319593 - 21 = 12319591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12319591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262096 + ... + 262142.

It is an arithmetic number, because the mean of its divisors is an integer number (550708).

Almost surely, 212319593 is an apocalyptic number.

12319593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12319593 is a deficient number, since it is larger than the sum of its proper divisors (7505895).

12319593 is a wasteful number, since it uses less digits than its factorization.

12319593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 74 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 12319593 is about 3509.9277770347. The cubic root of 12319593 is about 230.9575267200.

Multiplying 12319593 by its sum of digits (33), we get a square (406546569 = 201632).

12319593 divided by its sum of digits (33) gives a square (373321 = 6112).

The spelling of 12319593 in words is "twelve million, three hundred nineteen thousand, five hundred ninety-three".

Divisors: 1 3 11 13 33 39 47 141 143 169 429 507 517 611 1551 1833 1859 2209 5577 6627 6721 7943 20163 23829 24299 28717 72897 86151 87373 262119 315887 373321 947661 1119963 4106531 12319593