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108131328 = 210333911
BaseRepresentation
bin1100111000111…
…11010000000000
321112110122022000
412130133100000
5210140200303
614421344000
72452046454
oct634372000
9245418260
10108131328
1156045738
1230268000
131952c946
141050a664
15975dda3
hex671f400

108131328 has 88 divisors (see below), whose sum is σ = 320314560. Its totient is φ = 36034560.

The previous prime is 108131327. The next prime is 108131333. The reversal of 108131328 is 823131801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108131327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25693 + ... + 29603.

Almost surely, 2108131328 is an apocalyptic number.

108131328 is a gapful number since it is divisible by the number (18) 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 108131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157280).

108131328 is an abundant number, since it is smaller than the sum of its proper divisors (212183232).

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

108131328 is an equidigital number, since it uses as much as digits as its factorization.

108131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108131328 is about 10398.6214470958. The cubic root of 108131328 is about 476.4132653705.

The spelling of 108131328 in words is "one hundred eight million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 3911 4608 6912 7822 9216 11733 13824 15644 23466 27648 31288 35199 46932 62576 70398 93864 105597 125152 140796 187728 211194 250304 281592 375456 422388 500608 563184 750912 844776 1001216 1126368 1501824 1689552 2002432 2252736 3003648 3379104 4004864 4505472 6007296 6758208 9010944 12014592 13516416 18021888 27032832 36043776 54065664 108131328