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109555968 = 283294919
BaseRepresentation
bin1101000011110…
…11000100000000
321122011000112110
412201323010000
5211021242333
614512055320
72500132104
oct641730400
9248130473
10109555968
1156929025
1230834540
131990b222
141079b904
159941063
hex687b100

109555968 has 72 divisors (see below), whose sum is σ = 301694400. Its totient is φ = 35252224.

The previous prime is 109555951. The next prime is 109556017. The reversal of 109555968 is 869555901.

It is a happy number.

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, 19813 + ... + 24731.

It is an arithmetic number, because the mean of its divisors is an integer number (4190200).

Almost surely, 2109555968 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 109555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847200).

109555968 is an abundant number, since it is smaller than the sum of its proper divisors (192138432).

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

109555968 is an equidigital number, since it uses as much as digits as its factorization.

109555968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 48.

The square root of 109555968 is about 10466.8986810803. The cubic root of 109555968 is about 478.4964060399.

The spelling of 109555968 in words is "one hundred nine million, five hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 4919 5568 7424 9838 11136 14757 19676 22272 29514 39352 59028 78704 118056 142651 157408 236112 285302 314816 427953 472224 570604 629632 855906 944448 1141208 1259264 1711812 1888896 2282416 3423624 3777792 4564832 6847248 9129664 13694496 18259328 27388992 36518656 54777984 109555968