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108131072 = 28783727
BaseRepresentation
bin1100111000111…
…11001100000000
321112110121221112
412130133030000
5210140143242
614421342452
72452045640
oct634371400
9245417845
10108131072
1156045525
1230267a28
131952c7aa
141050a520
15975dc82
hex671f300

108131072 has 72 divisors (see below), whose sum is σ = 249989376. Its totient is φ = 45720576.

The previous prime is 108131059. The next prime is 108131087. The reversal of 108131072 is 270131801.

It is a happy number.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148373 + ... + 149099.

Almost surely, 2108131072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124994688).

108131072 is an abundant number, since it is smaller than the sum of its proper divisors (141858304).

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

108131072 is an frugal number, since it uses more digits than its factorization.

108131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 108131072 is about 10398.6091377645. The cubic root of 108131072 is about 476.4128894021.

Adding to 108131072 its reverse (270131801), we get a palindrome (378262873).

The spelling of 108131072 in words is "one hundred eight million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 256 332 448 581 664 727 896 1162 1328 1454 1792 2324 2656 2908 4648 5089 5312 5816 9296 10178 10624 11632 18592 20356 21248 23264 37184 40712 46528 60341 74368 81424 93056 120682 148736 162848 186112 241364 325696 422387 482728 651392 844774 965456 1302784 1689548 1930912 3379096 3861824 6758192 7723648 13516384 15447296 27032768 54065536 108131072