Search a number
-
+
11860128 = 253373753
BaseRepresentation
bin101101001111…
…100010100000
3211022120001000
4231033202200
511014011003
61102112000
7202544430
oct55174240
924276030
1011860128
116770765
123b7b600
1325c3437
14180a2c0
1510941a3
hexb4f8a0

11860128 has 192 divisors, whose sum is σ = 41368320. Its totient is φ = 3234816.

The previous prime is 11860109. The next prime is 11860133. The reversal of 11860128 is 82106811.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 223750 + ... + 223802.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 211860128 is an apocalyptic number.

11860128 is a gapful number since it is divisible by the number (18) 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 11860128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

11860128 is an abundant number, since it is smaller than the sum of its proper divisors (29508192).

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

11860128 is a wasteful number, since it uses less digits than its factorization.

11860128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11860128 is about 3443.8536554273. The cubic root of 11860128 is about 228.0498505956.

Adding to 11860128 its reverse (82106811), we get a palindrome (93966939).

The spelling of 11860128 in words is "eleven million, eight hundred sixty thousand, one hundred twenty-eight".