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11427780 = 22357213223
BaseRepresentation
bin101011100101…
…111111000100
3210111120222010
4223211333010
510411142110
61044534220
7166064100
oct53457704
923446863
1011427780
1164a5951
1239b1370
1324a1700
141736900
15100b020
hexae5fc4

11427780 has 216 divisors, whose sum is σ = 42057792. Its totient is φ = 2306304.

The previous prime is 11427763. The next prime is 11427781. The reversal of 11427780 is 8772411.

11427780 = T280 + T281 + ... + T448.

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

It is not an unprimeable number, because it can be changed into a prime (11427781) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 496849 + ... + 496871.

It is an arithmetic number, because the mean of its divisors is an integer number (194712).

Almost surely, 211427780 is an apocalyptic number.

11427780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3380×3381.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11427780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028896).

11427780 is an abundant number, since it is smaller than the sum of its proper divisors (30630012).

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

11427780 is a wasteful number, since it uses less digits than its factorization.

11427780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 11427780 is about 3380.4999630232. The cubic root of 11427780 is about 225.2443764576.

The spelling of 11427780 in words is "eleven million, four hundred twenty-seven thousand, seven hundred eighty".