Search a number
-
+
108734688 = 25322947277
BaseRepresentation
bin1100111101100…
…10100011100000
321120121021221200
412132302203200
5210314002223
614442321200
72460141516
oct636624340
9246537850
10108734688
1156417a87
12304b9200
13196b146a
14106264b6
15982ca43
hex67b28e0

108734688 has 144 divisors (see below), whose sum is σ = 327862080. Its totient is φ = 34126848.

The previous prime is 108734671. The next prime is 108734693. The reversal of 108734688 is 886437801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 392406 + ... + 392682.

It is an arithmetic number, because the mean of its divisors is an integer number (2276820).

Almost surely, 2108734688 is an apocalyptic number.

108734688 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 108734688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163931040).

108734688 is an abundant number, since it is smaller than the sum of its proper divisors (219127392).

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

108734688 is a wasteful number, since it uses less digits than its factorization.

108734688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 108734688 is about 10427.5926272558. The cubic root of 108734688 is about 477.2977321915.

The spelling of 108734688 in words is "one hundred eight million, seven hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 47 48 58 72 87 94 96 116 141 144 174 188 232 261 277 282 288 348 376 423 464 522 554 564 696 752 831 846 928 1044 1108 1128 1363 1392 1504 1662 1692 2088 2216 2256 2493 2726 2784 3324 3384 4089 4176 4432 4512 4986 5452 6648 6768 8033 8178 8352 8864 9972 10904 12267 13019 13296 13536 16066 16356 19944 21808 24099 24534 26038 26592 32132 32712 39057 39888 43616 48198 49068 52076 64264 65424 72297 78114 79776 96396 98136 104152 117171 128528 130848 144594 156228 192792 196272 208304 234342 257056 289188 312456 377551 385584 392544 416608 468684 578376 624912 755102 771168 937368 1132653 1156752 1249824 1510204 1874736 2265306 2313504 3020408 3397959 3749472 4530612 6040816 6795918 9061224 12081632 13591836 18122448 27183672 36244896 54367344 108734688