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111380940 = 2233511171103
BaseRepresentation
bin1101010001110…
…00100111001100
321202120201221000
412220320213030
5212003142230
615015140300
72521502526
oct650704714
9252521830
10111380940
1157965170
1231374690
131a0c9aa8
1410b14a16
159ba1b60
hex6a389cc

111380940 has 192 divisors, whose sum is σ = 400619520. Its totient is φ = 25390080.

The previous prime is 111380939. The next prime is 111380947. The reversal of 111380940 is 49083111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111380947) 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 63 ways as a sum of consecutive naturals, for example, 100429 + ... + 101531.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2111380940 is an apocalyptic number.

111380940 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 111380940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309760).

111380940 is an abundant number, since it is smaller than the sum of its proper divisors (289238580).

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

111380940 is a wasteful number, since it uses less digits than its factorization.

111380940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 111380940 is about 10553.7168807961. The cubic root of 111380940 is about 481.1387027722.

The spelling of 111380940 in words is "one hundred eleven million, three hundred eighty thousand, nine hundred forty".