Search a number
-
+
108668928 = 211323769
BaseRepresentation
bin1100111101000…
…10100000000000
321120110221202010
412132202200000
5210304401203
614441052520
72456446014
oct636424000
9246427663
10108668928
1156382635
1230487140
131968a554
141060a544
159818303
hex67a2800

108668928 has 96 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 34603008.

The previous prime is 108668893. The next prime is 108668933. The reversal of 108668928 is 829866801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 140928 + ... + 141696.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2108668928 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 108668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

108668928 is an abundant number, since it is smaller than the sum of its proper divisors (194033472).

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

108668928 is an equidigital number, since it uses as much as digits as its factorization.

108668928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 108668928 is about 10424.4389777100. The cubic root of 108668928 is about 477.2014935733.

The spelling of 108668928 in words is "one hundred eight million, six hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 769 1024 1104 1472 1536 1538 2048 2208 2307 2944 3072 3076 4416 4614 5888 6144 6152 8832 9228 11776 12304 17664 17687 18456 23552 24608 35328 35374 36912 47104 49216 53061 70656 70748 73824 98432 106122 141312 141496 147648 196864 212244 282992 295296 393728 424488 565984 590592 787456 848976 1131968 1181184 1574912 1697952 2263936 2362368 3395904 4527872 4724736 6791808 9055744 13583616 18111488 27167232 36222976 54334464 108668928