Search a number
-
+
13239840 = 253527583
BaseRepresentation
bin110010100000…
…011000100000
3220220122122110
4302200120200
511342133330
61151435320
7220352055
oct62403040
926818573
1013239840
117523319
124525b40
132987433
141a8902c
151267db0
hexca0620

13239840 has 48 divisors (see below), whose sum is σ = 41707008. Its totient is φ = 3530496.

The previous prime is 13239833. The next prime is 13239857. The reversal of 13239840 is 4893231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13239798 and 13239807.

It is an unprimeable number.

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, 13312 + ... + 14271.

It is an arithmetic number, because the mean of its divisors is an integer number (868896).

Almost surely, 213239840 is an apocalyptic number.

13239840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13239840 is an abundant number, since it is smaller than the sum of its proper divisors (28467168).

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

13239840 is a wasteful number, since it uses less digits than its factorization.

13239840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27601 (or 27593 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13239840 is about 3638.6590936772. The cubic root of 13239840 is about 236.5706767595.

The spelling of 13239840 in words is "thirteen million, two hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 27583 55166 82749 110332 137915 165498 220664 275830 330996 413745 441328 551660 661992 827490 882656 1103320 1323984 1654980 2206640 2647968 3309960 4413280 6619920 13239840