Search a number
-
+
1109220 = 2235719139
BaseRepresentation
bin100001110110011100100
32002100120020
410032303210
5240443340
635435140
712266610
oct4166344
92070506
101109220
11698412
12455ab0
132cab58
1420c340
1516d9d0
hex10ece4

1109220 has 96 divisors (see below), whose sum is σ = 3763200. Its totient is φ = 238464.

The previous prime is 1109219. The next prime is 1109231. The reversal of 1109220 is 229011.

1109220 = T323 + T324 + ... + T342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1109220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7911 + ... + 8049.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

21109220 is an apocalyptic number.

1109220 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 1109220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881600).

1109220 is an abundant number, since it is smaller than the sum of its proper divisors (2653980).

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

1109220 is a wasteful number, since it uses less digits than its factorization.

1109220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1109220 is about 1053.1951386139. The cubic root of 1109220 is about 103.5156222772.

The spelling of 1109220 in words is "one million, one hundred nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 139 140 190 210 228 266 278 285 380 399 417 420 532 556 570 665 695 798 834 973 1140 1330 1390 1596 1668 1946 1995 2085 2641 2660 2780 2919 3892 3990 4170 4865 5282 5838 7923 7980 8340 9730 10564 11676 13205 14595 15846 18487 19460 26410 29190 31692 36974 39615 52820 55461 58380 73948 79230 92435 110922 158460 184870 221844 277305 369740 554610 1109220