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11995040 = 255611229
BaseRepresentation
bin101101110000…
…011110100000
3211120102002202
4231300132200
511032320130
61105032332
7203645651
oct55603640
924512082
1011995040
116853062
1240256a8
13263c975
141843528
1510be145
hexb707a0

11995040 has 48 divisors (see below), whose sum is σ = 28826280. Its totient is φ = 4715520.

The previous prime is 11995031. The next prime is 11995057. The reversal of 11995040 is 4059911.

It can be written as a sum of positive squares in 4 ways, for example, as 9909904 + 2085136 = 3148^2 + 1444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11994994 and 11995012.

It is an unprimeable number.

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, 9146 + ... + 10374.

Almost surely, 211995040 is an apocalyptic number.

11995040 is a gapful number since it is divisible by the number (10) 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 11995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413140).

11995040 is an abundant number, since it is smaller than the sum of its proper divisors (16831240).

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

11995040 is a wasteful number, since it uses less digits than its factorization.

11995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 11995040 is about 3463.3856268109. The cubic root of 11995040 is about 228.9113009268.

It can be divided in two parts, 119 and 95040, that added together give a palindrome (95159).

The spelling of 11995040 in words is "eleven million, nine hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1229 1952 2440 2458 4880 4916 6145 9760 9832 12290 19664 24580 39328 49160 74969 98320 149938 196640 299876 374845 599752 749690 1199504 1499380 2399008 2998760 5997520 11995040