Search a number
-
+
11862640 = 245791877
BaseRepresentation
bin101101010000…
…001001110000
3211022200111001
4231100021300
511014101030
61102131344
7202554646
oct55201160
924280431
1011862640
116772639
123b80b54
1325c461a
14180b196
151094cca
hexb50270

11862640 has 40 divisors (see below), whose sum is σ = 27944640. Its totient is φ = 4682496.

The previous prime is 11862623. The next prime is 11862661. The reversal of 11862640 is 4626811.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11862599 and 11862608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5382 + ... + 7258.

It is an arithmetic number, because the mean of its divisors is an integer number (698616).

Almost surely, 211862640 is an apocalyptic number.

11862640 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 11862640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972320).

11862640 is an abundant number, since it is smaller than the sum of its proper divisors (16082000).

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

11862640 is a wasteful number, since it uses less digits than its factorization.

11862640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 11862640 is about 3444.2183438336. The cubic root of 11862640 is about 228.0659499380.

The spelling of 11862640 in words is "eleven million, eight hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 1877 3160 3754 6320 7508 9385 15016 18770 30032 37540 75080 148283 150160 296566 593132 741415 1186264 1482830 2372528 2965660 5931320 11862640