Search a number
-
+
110952096 = 25319591031
BaseRepresentation
bin1101001110011…
…11111010100000
321201202221122220
412213033322200
5211400431341
615002031040
72515035333
oct647177240
9251687586
10110952096
11576a1a52
12311a8480
1319ca9838
1410a4261a
159b19a66
hex69cfea0

110952096 has 96 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 34410240.

The previous prime is 110952059. The next prime is 110952113. The reversal of 110952096 is 690259011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107101 + ... + 108131.

It is an arithmetic number, because the mean of its divisors is an integer number (3250800).

Almost surely, 2110952096 is an apocalyptic number.

110952096 is a gapful number since it is divisible by the number (16) 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 110952096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

110952096 is an abundant number, since it is smaller than the sum of its proper divisors (201124704).

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

110952096 is a wasteful number, since it uses less digits than its factorization.

110952096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 110952096 is about 10533.3800842844. The cubic root of 110952096 is about 480.5204078011.

The spelling of 110952096 in words is "one hundred ten million, nine hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 76 96 114 118 152 177 228 236 304 354 456 472 608 708 912 944 1031 1121 1416 1824 1888 2062 2242 2832 3093 3363 4124 4484 5664 6186 6726 8248 8968 12372 13452 16496 17936 19589 24744 26904 32992 35872 39178 49488 53808 58767 60829 78356 98976 107616 117534 121658 156712 182487 235068 243316 313424 364974 470136 486632 626848 729948 940272 973264 1155751 1459896 1880544 1946528 2311502 2919792 3467253 4623004 5839584 6934506 9246008 13869012 18492016 27738024 36984032 55476048 110952096