Search a number
11877840 = 243551347

11877840 has 240 divisors, whose sum is σ = 45497088. Its totient is φ = 2861568.

The previous prime is 11877829. The next prime is 11877841. The reversal of 11877840 is 4877811.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11877795 and 11877804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11877841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252697 + ... + 252743.

Almost surely, 211877840 is an apocalyptic number.

11877840 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 11877840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

11877840 is an abundant number, since it is smaller than the sum of its proper divisors (33619248).

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

11877840 is a wasteful number, since it uses less digits than its factorization.

11877840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 11877840 is about 3446.4242338981. The cubic root of 11877840 is about 228.1633178894.

The spelling of 11877840 in words is "eleven million, eight hundred seventy-seven thousand, eight hundred forty".