Search a number
-
+
109007880 = 23351635573
BaseRepresentation
bin1100111111101…
…01010000001000
321121010011200220
412133311100020
5210401223010
614452230040
72462360142
oct637652010
9247104626
10109007880
1156594263
123060b320
1319778907
1410697c92
159883970
hex67f5408

109007880 has 64 divisors (see below), whose sum is σ = 329088960. Its totient is φ = 28885248.

The previous prime is 109007867. The next prime is 109007903. The reversal of 109007880 is 88700901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16774 + ... + 22346.

It is an arithmetic number, because the mean of its divisors is an integer number (5142015).

Almost surely, 2109007880 is an apocalyptic number.

109007880 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 109007880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164544480).

109007880 is an abundant number, since it is smaller than the sum of its proper divisors (220081080).

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

109007880 is a wasteful number, since it uses less digits than its factorization.

109007880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 109007880 is about 10440.6838856466. The cubic root of 109007880 is about 477.6971290269.

It can be divided in two parts, 10 and 9007880, that added together give a triangular number (9007890 = T4244).

The spelling of 109007880 in words is "one hundred nine million, seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 5573 6520 9780 11146 16719 19560 22292 27865 33438 44584 55730 66876 83595 111460 133752 167190 222920 334380 668760 908399 1816798 2725197 3633596 4541995 5450394 7267192 9083990 10900788 13625985 18167980 21801576 27251970 36335960 54503940 109007880