Search a number
-
+
111427350 = 235217371181
BaseRepresentation
bin1101010010000…
…11111100010110
321202200002120220
412221003330112
5212011133400
615020135210
72522055036
oct651037426
9252602526
10111427350
1157997021
1231397506
131a114c58
1410b278c6
159bb07a0
hex6a43f16

111427350 has 96 divisors (see below), whose sum is σ = 300757536. Its totient is φ = 27187200.

The previous prime is 111427301. The next prime is 111427363. The reversal of 111427350 is 53724111.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111427350.

It is a congruent number.

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, 93760 + ... + 94940.

It is an arithmetic number, because the mean of its divisors is an integer number (3132891).

Almost surely, 2111427350 is an apocalyptic number.

111427350 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 111427350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150378768).

111427350 is an abundant number, since it is smaller than the sum of its proper divisors (189330186).

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

111427350 is a wasteful number, since it uses less digits than its factorization.

111427350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 111427350 is about 10555.9154032230. The cubic root of 111427350 is about 481.2055201483.

The spelling of 111427350 in words is "one hundred eleven million, four hundred twenty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 37 50 51 74 75 85 102 111 150 170 185 222 255 370 425 510 555 629 850 925 1110 1181 1258 1275 1850 1887 2362 2550 2775 3145 3543 3774 5550 5905 6290 7086 9435 11810 15725 17715 18870 20077 29525 31450 35430 40154 43697 47175 59050 60231 87394 88575 94350 100385 120462 131091 177150 200770 218485 262182 301155 436970 501925 602310 655455 742849 1003850 1092425 1310910 1485698 1505775 2184850 2228547 3011550 3277275 3714245 4457094 6554550 7428490 11142735 18571225 22285470 37142450 55713675 111427350