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109968435 = 355293121
BaseRepresentation
bin1101000110111…
…11110000110011
321122220222100000
412203133300303
5211122442220
614525001043
72503500453
oct643376063
9248828300
10109968435
115708aa05
12309b3183
1319a23ba5
1410867d63
1599c3390
hex68dfc33

109968435 has 48 divisors (see below), whose sum is σ = 204553440. Its totient is φ = 56609280.

The previous prime is 109968433. The next prime is 109968449. The reversal of 109968435 is 534869901.

It is a happy number.

It is not a de Polignac number, because 109968435 - 21 = 109968433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (109968431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33675 + ... + 36795.

It is an arithmetic number, because the mean of its divisors is an integer number (4261530).

Almost surely, 2109968435 is an apocalyptic number.

109968435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109968435 is a deficient number, since it is larger than the sum of its proper divisors (94585005).

109968435 is an equidigital number, since it uses as much as digits as its factorization.

109968435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 109968435 is about 10486.5835714021. The cubic root of 109968435 is about 479.0961506649.

The spelling of 109968435 in words is "one hundred nine million, nine hundred sixty-eight thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 243 261 405 435 783 1215 1305 2349 3121 3915 7047 9363 11745 15605 28089 35235 46815 84267 90509 140445 252801 271527 421335 452545 758403 814581 1264005 1357635 2443743 3792015 4072905 7331229 12218715 21993687 36656145 109968435