Search a number
-
+
109845330 = 235717291061
BaseRepresentation
bin1101000110000…
…01101101010010
321122200201110120
412203001231102
5211110022310
614522211110
72502445530
oct643015522
9248621416
10109845330
1157006471
1230953a96
13199acb4a
1410835150
15999bb70
hex68c1b52

109845330 has 128 divisors (see below), whose sum is σ = 330324480. Its totient is φ = 22794240.

The previous prime is 109845317. The next prime is 109845331. The reversal of 109845330 is 33548901.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 109845291 and 109845300.

It is not an unprimeable number, because it can be changed into a prime (109845331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103000 + ... + 104060.

It is an arithmetic number, because the mean of its divisors is an integer number (2580660).

Almost surely, 2109845330 is an apocalyptic number.

109845330 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 109845330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165162240).

109845330 is an abundant number, since it is smaller than the sum of its proper divisors (220479150).

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

109845330 is a wasteful number, since it uses less digits than its factorization.

109845330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 109845330 is about 10480.7122849547. The cubic root of 109845330 is about 478.9173079708.

The spelling of 109845330 in words is "one hundred nine million, eight hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 29 30 34 35 42 51 58 70 85 87 102 105 119 145 170 174 203 210 238 255 290 357 406 435 493 510 595 609 714 870 986 1015 1061 1190 1218 1479 1785 2030 2122 2465 2958 3045 3183 3451 3570 4930 5305 6090 6366 6902 7395 7427 10353 10610 14790 14854 15915 17255 18037 20706 22281 30769 31830 34510 36074 37135 44562 51765 54111 61538 74270 90185 92307 103530 108222 111405 126259 153845 180370 184614 215383 222810 252518 270555 307690 378777 430766 461535 523073 541110 631295 646149 757554 923070 1046146 1076915 1262590 1292298 1569219 1893885 2153830 2615365 3138438 3230745 3661511 3787770 5230730 6461490 7323022 7846095 10984533 15692190 18307555 21969066 36615110 54922665 109845330