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108527680 = 2652291481
BaseRepresentation
bin1100111100000…
…00000001000000
321120012202222201
412132000001000
5210240341210
614434042544
72455320142
oct636000100
9246182881
10108527680
11562964a8
1230419454
131963b181
14105b0c92
1597db53a
hex6780040

108527680 has 56 divisors (see below), whose sum is σ = 259735320. Its totient is φ = 43192320.

The previous prime is 108527669. The next prime is 108527681. The reversal of 108527680 is 86725801.

It can be written as a sum of positive squares in 4 ways, for example, as 29246464 + 79281216 = 5408^2 + 8904^2 .

It is not an unprimeable number, because it can be changed into a prime (108527681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72540 + ... + 74020.

Almost surely, 2108527680 is an apocalyptic number.

108527680 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 108527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129867660).

108527680 is an abundant number, since it is smaller than the sum of its proper divisors (151207640).

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

108527680 is a wasteful number, since it uses less digits than its factorization.

108527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 108527680 is about 10417.6619257874. The cubic root of 108527680 is about 476.9946482412.

The spelling of 108527680 in words is "one hundred eight million, five hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 458 916 1145 1481 1832 2290 2962 3664 4580 5924 7328 7405 9160 11848 14656 14810 18320 23696 29620 36640 47392 59240 73280 94784 118480 236960 339149 473920 678298 1356596 1695745 2713192 3391490 5426384 6782980 10852768 13565960 21705536 27131920 54263840 108527680