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111372930 = 232510911353
BaseRepresentation
bin1101010001101…
…10101010000010
321202120022221100
412220312222002
5212002413210
615015035230
72521440264
oct650665202
9252508840
10111372930
115795a149
123136bb16
131a0c6256
1410b11b34
159b9e5c0
hex6a36a82

111372930 has 48 divisors (see below), whose sum is σ = 292251960. Its totient is φ = 29424384.

The previous prime is 111372907. The next prime is 111372931. The reversal of 111372930 is 39273111.

It can be written as a sum of positive squares in 4 ways, for example, as 87665769 + 23707161 = 9363^2 + 4869^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111372894 and 111372903.

It is not an unprimeable number, because it can be changed into a prime (111372931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4134 + ... + 15486.

Almost surely, 2111372930 is an apocalyptic number.

111372930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111372930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146125980).

111372930 is an abundant number, since it is smaller than the sum of its proper divisors (180879030).

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

111372930 is a wasteful number, since it uses less digits than its factorization.

111372930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475 (or 11472 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 111372930 is about 10553.3373868175. The cubic root of 111372930 is about 481.1271687419.

The spelling of 111372930 in words is "one hundred eleven million, three hundred seventy-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 11353 22706 34059 56765 68118 102177 113530 170295 204354 340590 510885 1021770 1237477 2474954 3712431 6187385 7424862 11137293 12374770 18562155 22274586 37124310 55686465 111372930