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109327120 = 2457197991
BaseRepresentation
bin1101000010000…
…11001100010000
321121201101121121
412201003030100
5210441431440
614503132024
72465156650
oct641031420
9247641547
10109327120
11567920a1
1230744014
131985b006
141073c360
1598e834a
hex6843310

109327120 has 80 divisors (see below), whose sum is σ = 292267008. Its totient is φ = 37255680.

The previous prime is 109327103. The next prime is 109327139. The reversal of 109327120 is 21723901.

It is a tau number, because it is divible by the number of its divisors (80).

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, 109825 + ... + 110815.

Almost surely, 2109327120 is an apocalyptic number.

109327120 is a gapful number since it is divisible by the number (10) 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 109327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146133504).

109327120 is an abundant number, since it is smaller than the sum of its proper divisors (182939888).

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

109327120 is a wasteful number, since it uses less digits than its factorization.

109327120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 109327120 is about 10455.9609792692. The cubic root of 109327120 is about 478.1630017782.

The spelling of 109327120 in words is "one hundred nine million, three hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 788 985 991 1379 1576 1970 1982 2758 3152 3940 3964 4955 5516 6895 6937 7880 7928 9910 11032 13790 13874 15760 15856 19820 22064 27580 27748 34685 39640 55160 55496 69370 79280 110320 110992 138740 195227 277480 390454 554960 780908 976135 1366589 1561816 1952270 2733178 3123632 3904540 5466356 6832945 7809080 10932712 13665890 15618160 21865424 27331780 54663560 109327120