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109508040 = 23325331919
BaseRepresentation
bin1101000011011…
…11010111001000
321122001120210100
412201233113020
5211013224130
614511045400
72466542265
oct641572710
9248046710
10109508040
11568a6014
1230810860
13198c2475
141078826c
159931c60
hex686f5c8

109508040 has 96 divisors (see below), whose sum is σ = 357364800. Its totient is φ = 29082240.

The previous prime is 109508023. The next prime is 109508041. The reversal of 109508040 is 40805901.

It is a junction number, because it is equal to n+sod(n) for n = 109507995 and 109508013.

It is not an unprimeable number, because it can be changed into a prime (109508041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118701 + ... + 119619.

It is an arithmetic number, because the mean of its divisors is an integer number (3722550).

Almost surely, 2109508040 is an apocalyptic number.

109508040 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 109508040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178682400).

109508040 is an abundant number, since it is smaller than the sum of its proper divisors (247856760).

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

109508040 is a wasteful number, since it uses less digits than its factorization.

109508040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 109508040 is about 10464.6089272366. The cubic root of 109508040 is about 478.4266191196.

The spelling of 109508040 in words is "one hundred nine million, five hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 331 360 662 919 993 1324 1655 1838 1986 2648 2757 2979 3310 3676 3972 4595 4965 5514 5958 6620 7352 7944 8271 9190 9930 11028 11916 13240 13785 14895 16542 18380 19860 22056 23832 27570 29790 33084 36760 39720 41355 55140 59580 66168 82710 110280 119160 165420 304189 330840 608378 912567 1216756 1520945 1825134 2433512 2737701 3041890 3650268 4562835 5475402 6083780 7300536 9125670 10950804 12167560 13688505 18251340 21901608 27377010 36502680 54754020 109508040