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109531980 = 22335238819
BaseRepresentation
bin1101000011101…
…01001101001100
321122002210122000
412201311031030
5211020010410
614511352300
72500002135
oct641651514
9248083560
10109531980
1156911aa8
1230822690
131990032c
1410792c8c
159938dc0
hex687534c

109531980 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 27935424.

The previous prime is 109531963. The next prime is 109531987. The reversal of 109531980 is 89135901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109531987) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8011 + ... + 16829.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2109531980 is an apocalyptic number.

109531980 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 109531980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

109531980 is an abundant number, since it is smaller than the sum of its proper divisors (246090420).

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

109531980 is a wasteful number, since it uses less digits than its factorization.

109531980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 109531980 is about 10465.7527201821. The cubic root of 109531980 is about 478.4614801786.

The spelling of 109531980 in words is "one hundred nine million, five hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 8819 12420 17638 26457 35276 44095 52914 79371 88190 105828 132285 158742 176380 202837 238113 264570 317484 396855 405674 476226 529140 608511 793710 811348 952452 1014185 1190565 1217022 1587420 1825533 2028370 2381130 2434044 3042555 3651066 4056740 4762260 5476599 6085110 7302132 9127665 10953198 12170220 18255330 21906396 27382995 36510660 54765990 109531980