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111381480 = 2335571637
BaseRepresentation
bin1101010001110…
…00101111101000
321202120202200000
412220320233220
5212003201410
615015143000
72521504230
oct650705750
9252522600
10111381480
1157965611
1231374a60
131a0ca102
1410b14cc0
159ba1dc0
hex6a38be8

111381480 has 192 divisors, whose sum is σ = 429287040. Its totient is φ = 25443072.

The previous prime is 111381449. The next prime is 111381499. The reversal of 111381480 is 84183111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67222 + ... + 68858.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2111381480 is an apocalyptic number.

111381480 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 111381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

111381480 is an abundant number, since it is smaller than the sum of its proper divisors (317905560).

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

111381480 is a wasteful number, since it uses less digits than its factorization.

111381480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1654 counting only the distinct ones).

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

The square root of 111381480 is about 10553.7424641688. The cubic root of 111381480 is about 481.1394803274.

The spelling of 111381480 in words is "one hundred eleven million, three hundred eighty-one thousand, four hundred eighty".