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108336740 = 22537281521
BaseRepresentation
bin1100111010100…
…01011001100100
321112212002001212
412131101121210
5210213233430
614430010552
72453563361
oct635213144
9245762055
10108336740
1156175aa6
1230346a58
13195a22a5
1410561468
15979eb95
hex6751664

108336740 has 48 divisors (see below), whose sum is σ = 234937584. Its totient is φ = 41932800.

The previous prime is 108336691. The next prime is 108336743. The reversal of 108336740 is 47633801.

It can be written as a sum of positive squares in 8 ways, for example, as 1999396 + 106337344 = 1414^2 + 10312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 108336697 and 108336706.

It is not an unprimeable number, because it can be changed into a prime (108336743) 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 15 ways as a sum of consecutive naturals, for example, 207680 + ... + 208200.

It is an arithmetic number, because the mean of its divisors is an integer number (4894533).

Almost surely, 2108336740 is an apocalyptic number.

108336740 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 108336740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117468792).

108336740 is an abundant number, since it is smaller than the sum of its proper divisors (126600844).

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

108336740 is a wasteful number, since it uses less digits than its factorization.

108336740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 108336740 is about 10408.4936470173. The cubic root of 108336740 is about 476.7147478409.

The spelling of 108336740 in words is "one hundred eight million, three hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 281 370 521 562 740 1042 1124 1405 2084 2605 2810 5210 5620 10397 10420 19277 20794 38554 41588 51985 77108 96385 103970 146401 192770 207940 292802 385540 585604 732005 1464010 2928020 5416837 10833674 21667348 27084185 54168370 108336740