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1106352 = 243313197
BaseRepresentation
bin100001110000110110000
32002012122000
410032012300
5240400402
635414000
712255342
oct4160660
92065560
101106352
11696245
12454300
132c9760
1420b292
1516cc1c
hex10e1b0

1106352 has 80 divisors (see below), whose sum is σ = 3437280. Its totient is φ = 338688.

The previous prime is 1106317. The next prime is 1106363. The reversal of 1106352 is 2536011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5518 + ... + 5714.

It is an arithmetic number, because the mean of its divisors is an integer number (42966).

21106352 is an apocalyptic number.

1106352 is a gapful number since it is divisible by the number (12) 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 1106352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718640).

1106352 is an abundant number, since it is smaller than the sum of its proper divisors (2330928).

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

1106352 is a wasteful number, since it uses less digits than its factorization.

1106352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1106352 is about 1051.8326863147. The cubic root of 1106352 is about 103.4263285854.

The spelling of 1106352 in words is "one million, one hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 197 208 216 234 312 351 394 432 468 591 624 702 788 936 1182 1404 1576 1773 1872 2364 2561 2808 3152 3546 4728 5122 5319 5616 7092 7683 9456 10244 10638 14184 15366 20488 21276 23049 28368 30732 40976 42552 46098 61464 69147 85104 92196 122928 138294 184392 276588 368784 553176 1106352