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108969216 = 2832331199
BaseRepresentation
bin1100111111010…
…11110100000000
321121001012122220
412133223310000
5210344003331
614451331040
72462136336
oct637536400
9247035586
10108969216
1156568204
12305b0a80
1319764135
1410687b56
159877296
hex67ebd00

108969216 has 144 divisors (see below), whose sum is σ = 313958400. Its totient is φ = 33454080.

The previous prime is 108969191. The next prime is 108969221. The reversal of 108969216 is 612969801.

It is a congruent number.

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, 547485 + ... + 547683.

Almost surely, 2108969216 is an apocalyptic number.

108969216 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 108969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156979200).

108969216 is an abundant number, since it is smaller than the sum of its proper divisors (204989184).

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

108969216 is a wasteful number, since it uses less digits than its factorization.

108969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 108969216 is about 10438.8321185849. The cubic root of 108969216 is about 477.6406442239.

The spelling of 108969216 in words is "one hundred eight million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 199 248 256 276 368 372 384 398 496 552 597 713 736 744 768 796 992 1104 1194 1426 1472 1488 1592 1984 2139 2208 2388 2852 2944 2976 3184 3968 4278 4416 4577 4776 5704 5888 5952 6169 6368 7936 8556 8832 9154 9552 11408 11904 12338 12736 13731 17112 17664 18308 18507 19104 22816 23808 24676 25472 27462 34224 36616 37014 38208 45632 49352 50944 54924 68448 73232 74028 76416 91264 98704 109848 136896 141887 146464 148056 152832 182528 197408 219696 273792 283774 292928 296112 394816 425661 439392 547584 567548 585856 592224 789632 851322 878784 1135096 1171712 1184448 1579264 1702644 1757568 2270192 2368896 3405288 3515136 4540384 4737792 6810576 9080768 13621152 18161536 27242304 36323072 54484608 108969216